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Finding the Fourth Proportional to 24,712.52, 37,071.06 and 8,072.64

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Solution

The fourth proportional to 24,712.52, 37,071.06 and 8,072.64 is: 12,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.52 : 37,071.06 = 8,072.64 : x
  2. Step 2: Convert to fraction form
    24,712.52/37,071.06 = 8,072.64/x
  3. Step 3: Cross multiply
    24,712.52x = 37,071.06 × 8,072.64
  4. Step 4: Simplify right side
    24,712.52x = 299,261,321.80
  5. Step 5: Solve for x
    x = 299,261,321.80/24,712.52
  6. Step 6: Final answer
    x = 12,109.70

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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.