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Finding the Fourth Proportional to 7,001.60, 9,662.24 and 3,857.92

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Solution

The fourth proportional to 7,001.60, 9,662.24 and 3,857.92 is: 5,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.60 : 9,662.24 = 3,857.92 : x
  2. Step 2: Convert to fraction form
    7,001.60/9,662.24 = 3,857.92/x
  3. Step 3: Cross multiply
    7,001.60x = 9,662.24 × 3,857.92
  4. Step 4: Simplify right side
    7,001.60x = 37,276,148.94
  5. Step 5: Solve for x
    x = 37,276,148.94/7,001.60
  6. Step 6: Final answer
    x = 5,323.95

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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.