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Finding the Fourth Proportional to 15,002, 22,487.64 and 6,242

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Solution

The fourth proportional to 15,002, 22,487.64 and 6,242 is: 9,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002 : 22,487.64 = 6,242 : x
  2. Step 2: Convert to fraction form
    15,002/22,487.64 = 6,242/x
  3. Step 3: Cross multiply
    15,002x = 22,487.64 × 6,242
  4. Step 4: Simplify right side
    15,002x = 140,367,848.88
  5. Step 5: Solve for x
    x = 140,367,848.88/15,002
  6. Step 6: Final answer
    x = 9,356.61

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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.