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Finding the Fourth Proportional to 24,175, 36,278.70 and 10,327.24

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Solution

The fourth proportional to 24,175, 36,278.70 and 10,327.24 is: 15,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175 : 36,278.70 = 10,327.24 : x
  2. Step 2: Convert to fraction form
    24,175/36,278.70 = 10,327.24/x
  3. Step 3: Cross multiply
    24,175x = 36,278.70 × 10,327.24
  4. Step 4: Simplify right side
    24,175x = 374,658,841.79
  5. Step 5: Solve for x
    x = 374,658,841.79/24,175
  6. Step 6: Final answer
    x = 15,497.78

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1.5x scale

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.