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Finding the Fourth Proportional to 10,288, 15,452.72 and 6,136.12

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Solution

The fourth proportional to 10,288, 15,452.72 and 6,136.12 is: 9,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 15,452.72 = 6,136.12 : x
  2. Step 2: Convert to fraction form
    10,288/15,452.72 = 6,136.12/x
  3. Step 3: Cross multiply
    10,288x = 15,452.72 × 6,136.12
  4. Step 4: Simplify right side
    10,288x = 94,819,744.25
  5. Step 5: Solve for x
    x = 94,819,744.25/10,288
  6. Step 6: Final answer
    x = 9,216.54

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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.