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Finding the Fourth Proportional to 8,357.98, 11,542.62 and 7,233.52

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Solution

The fourth proportional to 8,357.98, 11,542.62 and 7,233.52 is: 9,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.98 : 11,542.62 = 7,233.52 : x
  2. Step 2: Convert to fraction form
    8,357.98/11,542.62 = 7,233.52/x
  3. Step 3: Cross multiply
    8,357.98x = 11,542.62 × 7,233.52
  4. Step 4: Simplify right side
    8,357.98x = 83,493,772.62
  5. Step 5: Solve for x
    x = 83,493,772.62/8,357.98
  6. Step 6: Final answer
    x = 9,989.71

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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.