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Finding the Fourth Proportional to 6,586.88, 9,089.76 and 3,934.28

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Solution

The fourth proportional to 6,586.88, 9,089.76 and 3,934.28 is: 5,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.88 : 9,089.76 = 3,934.28 : x
  2. Step 2: Convert to fraction form
    6,586.88/9,089.76 = 3,934.28/x
  3. Step 3: Cross multiply
    6,586.88x = 9,089.76 × 3,934.28
  4. Step 4: Simplify right side
    6,586.88x = 35,761,660.97
  5. Step 5: Solve for x
    x = 35,761,660.97/6,586.88
  6. Step 6: Final answer
    x = 5,429.23

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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.