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Finding the Fourth Proportional to 24,742.82, 37,117.07 and 7,212.65

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Solution

The fourth proportional to 24,742.82, 37,117.07 and 7,212.65 is: 10,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.82 : 37,117.07 = 7,212.65 : x
  2. Step 2: Convert to fraction form
    24,742.82/37,117.07 = 7,212.65/x
  3. Step 3: Cross multiply
    24,742.82x = 37,117.07 × 7,212.65
  4. Step 4: Simplify right side
    24,742.82x = 267,712,240.33
  5. Step 5: Solve for x
    x = 267,712,240.33/24,742.82
  6. Step 6: Final answer
    x = 10,819.80

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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.