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Finding the Fourth Proportional to 8,602.38, 12,832.14 and 8,314.44

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Solution

The fourth proportional to 8,602.38, 12,832.14 and 8,314.44 is: 12,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.38 : 12,832.14 = 8,314.44 : x
  2. Step 2: Convert to fraction form
    8,602.38/12,832.14 = 8,314.44/x
  3. Step 3: Cross multiply
    8,602.38x = 12,832.14 × 8,314.44
  4. Step 4: Simplify right side
    8,602.38x = 106,692,058.10
  5. Step 5: Solve for x
    x = 106,692,058.10/8,602.38
  6. Step 6: Final answer
    x = 12,402.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.