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Finding the Fourth Proportional to 10,294.71, 15,442.07 and 2,899.17

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Solution

The fourth proportional to 10,294.71, 15,442.07 and 2,899.17 is: 4,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.71 : 15,442.07 = 2,899.17 : x
  2. Step 2: Convert to fraction form
    10,294.71/15,442.07 = 2,899.17/x
  3. Step 3: Cross multiply
    10,294.71x = 15,442.07 × 2,899.17
  4. Step 4: Simplify right side
    10,294.71x = 44,769,171.59
  5. Step 5: Solve for x
    x = 44,769,171.59/10,294.71
  6. Step 6: Final answer
    x = 4,348.76

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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.