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Finding the Fourth Proportional to 24,971.50, 37,460.79 and 8,098.79

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Solution

The fourth proportional to 24,971.50, 37,460.79 and 8,098.79 is: 12,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.50 : 37,460.79 = 8,098.79 : x
  2. Step 2: Convert to fraction form
    24,971.50/37,460.79 = 8,098.79/x
  3. Step 3: Cross multiply
    24,971.50x = 37,460.79 × 8,098.79
  4. Step 4: Simplify right side
    24,971.50x = 303,387,071.44
  5. Step 5: Solve for x
    x = 303,387,071.44/24,971.50
  6. Step 6: Final answer
    x = 12,149.33

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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.