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Finding the Fourth Proportional to 9,168.14, 13,753.29 and 6,874.22

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Solution

The fourth proportional to 9,168.14, 13,753.29 and 6,874.22 is: 10,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.14 : 13,753.29 = 6,874.22 : x
  2. Step 2: Convert to fraction form
    9,168.14/13,753.29 = 6,874.22/x
  3. Step 3: Cross multiply
    9,168.14x = 13,753.29 × 6,874.22
  4. Step 4: Simplify right side
    9,168.14x = 94,543,141.18
  5. Step 5: Solve for x
    x = 94,543,141.18/9,168.14
  6. Step 6: Final answer
    x = 10,312.14

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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.