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Finding the Fourth Proportional to 10,472.92, 14,452.08 and 5,756.29

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Solution

The fourth proportional to 10,472.92, 14,452.08 and 5,756.29 is: 7,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.92 : 14,452.08 = 5,756.29 : x
  2. Step 2: Convert to fraction form
    10,472.92/14,452.08 = 5,756.29/x
  3. Step 3: Cross multiply
    10,472.92x = 14,452.08 × 5,756.29
  4. Step 4: Simplify right side
    10,472.92x = 83,190,363.58
  5. Step 5: Solve for x
    x = 83,190,363.58/10,472.92
  6. Step 6: Final answer
    x = 7,943.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.