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Finding the Fourth Proportional to 7,147.56, 9,862.92 and 4,003.68

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Solution

The fourth proportional to 7,147.56, 9,862.92 and 4,003.68 is: 5,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.56 : 9,862.92 = 4,003.68 : x
  2. Step 2: Convert to fraction form
    7,147.56/9,862.92 = 4,003.68/x
  3. Step 3: Cross multiply
    7,147.56x = 9,862.92 × 4,003.68
  4. Step 4: Simplify right side
    7,147.56x = 39,487,975.55
  5. Step 5: Solve for x
    x = 39,487,975.55/7,147.56
  6. Step 6: Final answer
    x = 5,524.68

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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.