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Finding the Fourth Proportional to 6,949.68, 9,589.65 and 3,965.32

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Solution

The fourth proportional to 6,949.68, 9,589.65 and 3,965.32 is: 5,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.68 : 9,589.65 = 3,965.32 : x
  2. Step 2: Convert to fraction form
    6,949.68/9,589.65 = 3,965.32/x
  3. Step 3: Cross multiply
    6,949.68x = 9,589.65 × 3,965.32
  4. Step 4: Simplify right side
    6,949.68x = 38,026,030.94
  5. Step 5: Solve for x
    x = 38,026,030.94/6,949.68
  6. Step 6: Final answer
    x = 5,471.62

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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.