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Finding the Fourth Proportional to 24,742.66, 37,114.47 and 7,212.58

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Solution

The fourth proportional to 24,742.66, 37,114.47 and 7,212.58 is: 10,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.66 : 37,114.47 = 7,212.58 : x
  2. Step 2: Convert to fraction form
    24,742.66/37,114.47 = 7,212.58/x
  3. Step 3: Cross multiply
    24,742.66x = 37,114.47 × 7,212.58
  4. Step 4: Simplify right side
    24,742.66x = 267,691,084.03
  5. Step 5: Solve for x
    x = 267,691,084.03/24,742.66
  6. Step 6: Final answer
    x = 10,819.01

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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.