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Finding the Fourth Proportional to 7,750, 11,632.24 and 6,029.52

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Solution

The fourth proportional to 7,750, 11,632.24 and 6,029.52 is: 9,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750 : 11,632.24 = 6,029.52 : x
  2. Step 2: Convert to fraction form
    7,750/11,632.24 = 6,029.52/x
  3. Step 3: Cross multiply
    7,750x = 11,632.24 × 6,029.52
  4. Step 4: Simplify right side
    7,750x = 70,136,823.72
  5. Step 5: Solve for x
    x = 70,136,823.72/7,750
  6. Step 6: Final answer
    x = 9,049.91

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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.