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Finding the Fourth Proportional to 6,952.32, 9,593.92 and 4,159.36

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Solution

The fourth proportional to 6,952.32, 9,593.92 and 4,159.36 is: 5,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.32 : 9,593.92 = 4,159.36 : x
  2. Step 2: Convert to fraction form
    6,952.32/9,593.92 = 4,159.36/x
  3. Step 3: Cross multiply
    6,952.32x = 9,593.92 × 4,159.36
  4. Step 4: Simplify right side
    6,952.32x = 39,904,567.09
  5. Step 5: Solve for x
    x = 39,904,567.09/6,952.32
  6. Step 6: Final answer
    x = 5,739.75

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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.