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Finding the Fourth Proportional to 6,599.52, 9,904.14 and 3,136.80

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Solution

The fourth proportional to 6,599.52, 9,904.14 and 3,136.80 is: 4,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.52 : 9,904.14 = 3,136.80 : x
  2. Step 2: Convert to fraction form
    6,599.52/9,904.14 = 3,136.80/x
  3. Step 3: Cross multiply
    6,599.52x = 9,904.14 × 3,136.80
  4. Step 4: Simplify right side
    6,599.52x = 31,067,306.35
  5. Step 5: Solve for x
    x = 31,067,306.35/6,599.52
  6. Step 6: Final answer
    x = 4,707.51

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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.