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Finding the Fourth Proportional to 24,742.42, 37,116.97 and 7,212.11

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Solution

The fourth proportional to 24,742.42, 37,116.97 and 7,212.11 is: 10,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.42 : 37,116.97 = 7,212.11 : x
  2. Step 2: Convert to fraction form
    24,742.42/37,116.97 = 7,212.11/x
  3. Step 3: Cross multiply
    24,742.42x = 37,116.97 × 7,212.11
  4. Step 4: Simplify right side
    24,742.42x = 267,691,466.89
  5. Step 5: Solve for x
    x = 267,691,466.89/24,742.42
  6. Step 6: Final answer
    x = 10,819.13

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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.