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Finding the Fourth Proportional to 10,006.40, 14,966.40 and 8,451.20

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Solution

The fourth proportional to 10,006.40, 14,966.40 and 8,451.20 is: 12,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.40 : 14,966.40 = 8,451.20 : x
  2. Step 2: Convert to fraction form
    10,006.40/14,966.40 = 8,451.20/x
  3. Step 3: Cross multiply
    10,006.40x = 14,966.40 × 8,451.20
  4. Step 4: Simplify right side
    10,006.40x = 126,484,039.68
  5. Step 5: Solve for x
    x = 126,484,039.68/10,006.40
  6. Step 6: Final answer
    x = 12,640.31

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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.