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Finding the Fourth Proportional to 11,542.54, 15,918.14 and 7,565.86

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Solution

The fourth proportional to 11,542.54, 15,918.14 and 7,565.86 is: 10,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.54 : 15,918.14 = 7,565.86 : x
  2. Step 2: Convert to fraction form
    11,542.54/15,918.14 = 7,565.86/x
  3. Step 3: Cross multiply
    11,542.54x = 15,918.14 × 7,565.86
  4. Step 4: Simplify right side
    11,542.54x = 120,434,418.70
  5. Step 5: Solve for x
    x = 120,434,418.70/11,542.54
  6. Step 6: Final answer
    x = 10,433.96

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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.