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Finding the Fourth Proportional to 24,924, 37,388.16 and 6,456

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Solution

The fourth proportional to 24,924, 37,388.16 and 6,456 is: 9,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 37,388.16 = 6,456 : x
  2. Step 2: Convert to fraction form
    24,924/37,388.16 = 6,456/x
  3. Step 3: Cross multiply
    24,924x = 37,388.16 × 6,456
  4. Step 4: Simplify right side
    24,924x = 241,377,960.96
  5. Step 5: Solve for x
    x = 241,377,960.96/24,924
  6. Step 6: Final answer
    x = 9,684.56

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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.