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Finding the Fourth Proportional to 7,170.68, 10,727.94 and 6,339.56

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Solution

The fourth proportional to 7,170.68, 10,727.94 and 6,339.56 is: 9,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.68 : 10,727.94 = 6,339.56 : x
  2. Step 2: Convert to fraction form
    7,170.68/10,727.94 = 6,339.56/x
  3. Step 3: Cross multiply
    7,170.68x = 10,727.94 × 6,339.56
  4. Step 4: Simplify right side
    7,170.68x = 68,010,419.31
  5. Step 5: Solve for x
    x = 68,010,419.31/7,170.68
  6. Step 6: Final answer
    x = 9,484.51

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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.