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Finding the Fourth Proportional to 12,076.70, 18,115.05 and 8,140.10

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Solution

The fourth proportional to 12,076.70, 18,115.05 and 8,140.10 is: 12,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.70 : 18,115.05 = 8,140.10 : x
  2. Step 2: Convert to fraction form
    12,076.70/18,115.05 = 8,140.10/x
  3. Step 3: Cross multiply
    12,076.70x = 18,115.05 × 8,140.10
  4. Step 4: Simplify right side
    12,076.70x = 147,458,318.51
  5. Step 5: Solve for x
    x = 147,458,318.51/12,076.70
  6. Step 6: Final answer
    x = 12,210.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.