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Finding the Fourth Proportional to 9,489.76, 14,239.56 and 6,734.16

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Solution

The fourth proportional to 9,489.76, 14,239.56 and 6,734.16 is: 10,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.76 : 14,239.56 = 6,734.16 : x
  2. Step 2: Convert to fraction form
    9,489.76/14,239.56 = 6,734.16/x
  3. Step 3: Cross multiply
    9,489.76x = 14,239.56 × 6,734.16
  4. Step 4: Simplify right side
    9,489.76x = 95,891,475.37
  5. Step 5: Solve for x
    x = 95,891,475.37/9,489.76
  6. Step 6: Final answer
    x = 10,104.73

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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.