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Finding the Fourth Proportional to 10,269.52, 15,329.99 and 9,023.96

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Solution

The fourth proportional to 10,269.52, 15,329.99 and 9,023.96 is: 13,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.52 : 15,329.99 = 9,023.96 : x
  2. Step 2: Convert to fraction form
    10,269.52/15,329.99 = 9,023.96/x
  3. Step 3: Cross multiply
    10,269.52x = 15,329.99 × 9,023.96
  4. Step 4: Simplify right side
    10,269.52x = 138,337,191.21
  5. Step 5: Solve for x
    x = 138,337,191.21/10,269.52
  6. Step 6: Final answer
    x = 13,470.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.