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Finding the Fourth Proportional to 24,744, 37,118.16 and 6,276

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Solution

The fourth proportional to 24,744, 37,118.16 and 6,276 is: 9,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744 : 37,118.16 = 6,276 : x
  2. Step 2: Convert to fraction form
    24,744/37,118.16 = 6,276/x
  3. Step 3: Cross multiply
    24,744x = 37,118.16 × 6,276
  4. Step 4: Simplify right side
    24,744x = 232,953,572.16
  5. Step 5: Solve for x
    x = 232,953,572.16/24,744
  6. Step 6: Final answer
    x = 9,414.55

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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.