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Finding the Fourth Proportional to 6,177.87, 9,266.82 and 1,497.87

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Solution

The fourth proportional to 6,177.87, 9,266.82 and 1,497.87 is: 2,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.87 : 9,266.82 = 1,497.87 : x
  2. Step 2: Convert to fraction form
    6,177.87/9,266.82 = 1,497.87/x
  3. Step 3: Cross multiply
    6,177.87x = 9,266.82 × 1,497.87
  4. Step 4: Simplify right side
    6,177.87x = 13,880,491.67
  5. Step 5: Solve for x
    x = 13,880,491.67/6,177.87
  6. Step 6: Final answer
    x = 2,246.81

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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.