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Finding the Fourth Proportional to 6,425.87, 9,586.95 and 5,724.65

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Solution

The fourth proportional to 6,425.87, 9,586.95 and 5,724.65 is: 8,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.87 : 9,586.95 = 5,724.65 : x
  2. Step 2: Convert to fraction form
    6,425.87/9,586.95 = 5,724.65/x
  3. Step 3: Cross multiply
    6,425.87x = 9,586.95 × 5,724.65
  4. Step 4: Simplify right side
    6,425.87x = 54,881,935.82
  5. Step 5: Solve for x
    x = 54,881,935.82/6,425.87
  6. Step 6: Final answer
    x = 8,540.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.