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Finding the Fourth Proportional to 6,685.68, 9,226.29 and 3,701.46

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Solution

The fourth proportional to 6,685.68, 9,226.29 and 3,701.46 is: 5,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.68 : 9,226.29 = 3,701.46 : x
  2. Step 2: Convert to fraction form
    6,685.68/9,226.29 = 3,701.46/x
  3. Step 3: Cross multiply
    6,685.68x = 9,226.29 × 3,701.46
  4. Step 4: Simplify right side
    6,685.68x = 34,150,743.38
  5. Step 5: Solve for x
    x = 34,150,743.38/6,685.68
  6. Step 6: Final answer
    x = 5,108.04

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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.