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Finding the Fourth Proportional to 7,729.68, 11,597.82 and 7,397.52

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Solution

The fourth proportional to 7,729.68, 11,597.82 and 7,397.52 is: 11,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.68 : 11,597.82 = 7,397.52 : x
  2. Step 2: Convert to fraction form
    7,729.68/11,597.82 = 7,397.52/x
  3. Step 3: Cross multiply
    7,729.68x = 11,597.82 × 7,397.52
  4. Step 4: Simplify right side
    7,729.68x = 85,795,105.41
  5. Step 5: Solve for x
    x = 85,795,105.41/7,729.68
  6. Step 6: Final answer
    x = 11,099.44

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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.