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Finding the Fourth Proportional to 6,711.47, 9,266.46 and 4,194.71

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Solution

The fourth proportional to 6,711.47, 9,266.46 and 4,194.71 is: 5,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.47 : 9,266.46 = 4,194.71 : x
  2. Step 2: Convert to fraction form
    6,711.47/9,266.46 = 4,194.71/x
  3. Step 3: Cross multiply
    6,711.47x = 9,266.46 × 4,194.71
  4. Step 4: Simplify right side
    6,711.47x = 38,870,126.08
  5. Step 5: Solve for x
    x = 38,870,126.08/6,711.47
  6. Step 6: Final answer
    x = 5,791.60

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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.