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Finding the Fourth Proportional to 9,599.52, 14,399.10 and 5,677.98

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Solution

The fourth proportional to 9,599.52, 14,399.10 and 5,677.98 is: 8,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.52 : 14,399.10 = 5,677.98 : x
  2. Step 2: Convert to fraction form
    9,599.52/14,399.10 = 5,677.98/x
  3. Step 3: Cross multiply
    9,599.52x = 14,399.10 × 5,677.98
  4. Step 4: Simplify right side
    9,599.52x = 81,757,801.82
  5. Step 5: Solve for x
    x = 81,757,801.82/9,599.52
  6. Step 6: Final answer
    x = 8,516.86

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Similar ratio
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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.