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Finding the Fourth Proportional to 8,309.93, 12,424.80 and 8,113.10

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Solution

The fourth proportional to 8,309.93, 12,424.80 and 8,113.10 is: 12,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.93 : 12,424.80 = 8,113.10 : x
  2. Step 2: Convert to fraction form
    8,309.93/12,424.80 = 8,113.10/x
  3. Step 3: Cross multiply
    8,309.93x = 12,424.80 × 8,113.10
  4. Step 4: Simplify right side
    8,309.93x = 100,803,644.88
  5. Step 5: Solve for x
    x = 100,803,644.88/8,309.93
  6. Step 6: Final answer
    x = 12,130.50

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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.