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Finding the Fourth Proportional to 7,525.92, 10,391.31 and 6,966.12

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Solution

The fourth proportional to 7,525.92, 10,391.31 and 6,966.12 is: 9,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.92 : 10,391.31 = 6,966.12 : x
  2. Step 2: Convert to fraction form
    7,525.92/10,391.31 = 6,966.12/x
  3. Step 3: Cross multiply
    7,525.92x = 10,391.31 × 6,966.12
  4. Step 4: Simplify right side
    7,525.92x = 72,387,112.42
  5. Step 5: Solve for x
    x = 72,387,112.42/7,525.92
  6. Step 6: Final answer
    x = 9,618.37

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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.