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Finding the Fourth Proportional to 6,685.71, 9,226.62 and 3,701.88

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Solution

The fourth proportional to 6,685.71, 9,226.62 and 3,701.88 is: 5,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.71 : 9,226.62 = 3,701.88 : x
  2. Step 2: Convert to fraction form
    6,685.71/9,226.62 = 3,701.88/x
  3. Step 3: Cross multiply
    6,685.71x = 9,226.62 × 3,701.88
  4. Step 4: Simplify right side
    6,685.71x = 34,155,840.05
  5. Step 5: Solve for x
    x = 34,155,840.05/6,685.71
  6. Step 6: Final answer
    x = 5,108.78

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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.