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Finding the Fourth Proportional to 9,686.10, 14,529.15 and 9,200.10

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Solution

The fourth proportional to 9,686.10, 14,529.15 and 9,200.10 is: 13,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.10 : 14,529.15 = 9,200.10 : x
  2. Step 2: Convert to fraction form
    9,686.10/14,529.15 = 9,200.10/x
  3. Step 3: Cross multiply
    9,686.10x = 14,529.15 × 9,200.10
  4. Step 4: Simplify right side
    9,686.10x = 133,669,632.92
  5. Step 5: Solve for x
    x = 133,669,632.92/9,686.10
  6. Step 6: Final answer
    x = 13,800.15

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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.