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Finding the Fourth Proportional to 9,297.12, 13,948.11 and 5,397.78

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Solution

The fourth proportional to 9,297.12, 13,948.11 and 5,397.78 is: 8,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.12 : 13,948.11 = 5,397.78 : x
  2. Step 2: Convert to fraction form
    9,297.12/13,948.11 = 5,397.78/x
  3. Step 3: Cross multiply
    9,297.12x = 13,948.11 × 5,397.78
  4. Step 4: Simplify right side
    9,297.12x = 75,288,829.20
  5. Step 5: Solve for x
    x = 75,288,829.20/9,297.12
  6. Step 6: Final answer
    x = 8,098.08

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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.