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Finding the Fourth Proportional to 6,643.24, 9,964.86 and 5,787.88

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Solution

The fourth proportional to 6,643.24, 9,964.86 and 5,787.88 is: 8,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.24 : 9,964.86 = 5,787.88 : x
  2. Step 2: Convert to fraction form
    6,643.24/9,964.86 = 5,787.88/x
  3. Step 3: Cross multiply
    6,643.24x = 9,964.86 × 5,787.88
  4. Step 4: Simplify right side
    6,643.24x = 57,675,413.90
  5. Step 5: Solve for x
    x = 57,675,413.90/6,643.24
  6. Step 6: Final answer
    x = 8,681.82

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.