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Finding the Fourth Proportional to 24,742.48, 37,112.64 and 7,213

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Solution

The fourth proportional to 24,742.48, 37,112.64 and 7,213 is: 10,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.48 : 37,112.64 = 7,213 : x
  2. Step 2: Convert to fraction form
    24,742.48/37,112.64 = 7,213/x
  3. Step 3: Cross multiply
    24,742.48x = 37,112.64 × 7,213
  4. Step 4: Simplify right side
    24,742.48x = 267,693,472.32
  5. Step 5: Solve for x
    x = 267,693,472.32/24,742.48
  6. Step 6: Final answer
    x = 10,819.19

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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.