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Finding the Fourth Proportional to 7,001.52, 9,662.27 and 3,857.71

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Solution

The fourth proportional to 7,001.52, 9,662.27 and 3,857.71 is: 5,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.52 : 9,662.27 = 3,857.71 : x
  2. Step 2: Convert to fraction form
    7,001.52/9,662.27 = 3,857.71/x
  3. Step 3: Cross multiply
    7,001.52x = 9,662.27 × 3,857.71
  4. Step 4: Simplify right side
    7,001.52x = 37,274,187.29
  5. Step 5: Solve for x
    x = 37,274,187.29/7,001.52
  6. Step 6: Final answer
    x = 5,323.73

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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.