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Finding the Fourth Proportional to 6,657.62, 9,982.95 and 1,976.98

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Solution

The fourth proportional to 6,657.62, 9,982.95 and 1,976.98 is: 2,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.62 : 9,982.95 = 1,976.98 : x
  2. Step 2: Convert to fraction form
    6,657.62/9,982.95 = 1,976.98/x
  3. Step 3: Cross multiply
    6,657.62x = 9,982.95 × 1,976.98
  4. Step 4: Simplify right side
    6,657.62x = 19,736,078.84
  5. Step 5: Solve for x
    x = 19,736,078.84/6,657.62
  6. Step 6: Final answer
    x = 2,964.44

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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.