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Finding the Fourth Proportional to 9,924.38, 13,695.14 and 5,891.38

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Solution

The fourth proportional to 9,924.38, 13,695.14 and 5,891.38 is: 8,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.38 : 13,695.14 = 5,891.38 : x
  2. Step 2: Convert to fraction form
    9,924.38/13,695.14 = 5,891.38/x
  3. Step 3: Cross multiply
    9,924.38x = 13,695.14 × 5,891.38
  4. Step 4: Simplify right side
    9,924.38x = 80,683,331.42
  5. Step 5: Solve for x
    x = 80,683,331.42/9,924.38
  6. Step 6: Final answer
    x = 8,129.81

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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.