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Finding the Fourth Proportional to 6,177.97, 9,266.97 and 1,497.96

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Solution

The fourth proportional to 6,177.97, 9,266.97 and 1,497.96 is: 2,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.97 : 9,266.97 = 1,497.96 : x
  2. Step 2: Convert to fraction form
    6,177.97/9,266.97 = 1,497.96/x
  3. Step 3: Cross multiply
    6,177.97x = 9,266.97 × 1,497.96
  4. Step 4: Simplify right side
    6,177.97x = 13,881,550.38
  5. Step 5: Solve for x
    x = 13,881,550.38/6,177.97
  6. Step 6: Final answer
    x = 2,246.94

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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.