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Finding the Fourth Proportional to 8,966.97, 12,375.59 and 5,430.24

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Solution

The fourth proportional to 8,966.97, 12,375.59 and 5,430.24 is: 7,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.97 : 12,375.59 = 5,430.24 : x
  2. Step 2: Convert to fraction form
    8,966.97/12,375.59 = 5,430.24/x
  3. Step 3: Cross multiply
    8,966.97x = 12,375.59 × 5,430.24
  4. Step 4: Simplify right side
    8,966.97x = 67,202,396.69
  5. Step 5: Solve for x
    x = 67,202,396.69/8,966.97
  6. Step 6: Final answer
    x = 7,494.44

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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.