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Finding the Fourth Proportional to 6,354.24, 9,493.28 and 6,136

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Solution

The fourth proportional to 6,354.24, 9,493.28 and 6,136 is: 9,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.24 : 9,493.28 = 6,136 : x
  2. Step 2: Convert to fraction form
    6,354.24/9,493.28 = 6,136/x
  3. Step 3: Cross multiply
    6,354.24x = 9,493.28 × 6,136
  4. Step 4: Simplify right side
    6,354.24x = 58,250,766.08
  5. Step 5: Solve for x
    x = 58,250,766.08/6,354.24
  6. Step 6: Final answer
    x = 9,167.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.