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Finding the Fourth Proportional to 10,279.71, 14,171.46 and 7,294.46

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Solution

The fourth proportional to 10,279.71, 14,171.46 and 7,294.46 is: 10,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.71 : 14,171.46 = 7,294.46 : x
  2. Step 2: Convert to fraction form
    10,279.71/14,171.46 = 7,294.46/x
  3. Step 3: Cross multiply
    10,279.71x = 14,171.46 × 7,294.46
  4. Step 4: Simplify right side
    10,279.71x = 103,373,049.90
  5. Step 5: Solve for x
    x = 103,373,049.90/10,279.71
  6. Step 6: Final answer
    x = 10,056.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.