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Finding the Fourth Proportional to 24,874.40, 37,279.20 and 10,071.20

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Solution

The fourth proportional to 24,874.40, 37,279.20 and 10,071.20 is: 15,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.40 : 37,279.20 = 10,071.20 : x
  2. Step 2: Convert to fraction form
    24,874.40/37,279.20 = 10,071.20/x
  3. Step 3: Cross multiply
    24,874.40x = 37,279.20 × 10,071.20
  4. Step 4: Simplify right side
    24,874.40x = 375,446,279.04
  5. Step 5: Solve for x
    x = 375,446,279.04/24,874.40
  6. Step 6: Final answer
    x = 15,093.68

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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.