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Finding the Fourth Proportional to 24,902.60, 37,353.82 and 7,806.79

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Solution

The fourth proportional to 24,902.60, 37,353.82 and 7,806.79 is: 11,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.60 : 37,353.82 = 7,806.79 : x
  2. Step 2: Convert to fraction form
    24,902.60/37,353.82 = 7,806.79/x
  3. Step 3: Cross multiply
    24,902.60x = 37,353.82 × 7,806.79
  4. Step 4: Simplify right side
    24,902.60x = 291,613,428.44
  5. Step 5: Solve for x
    x = 291,613,428.44/24,902.60
  6. Step 6: Final answer
    x = 11,710.16

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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.