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Finding the Fourth Proportional to 6,182.55, 9,264.31 and 3,986.84

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Solution

The fourth proportional to 6,182.55, 9,264.31 and 3,986.84 is: 5,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.55 : 9,264.31 = 3,986.84 : x
  2. Step 2: Convert to fraction form
    6,182.55/9,264.31 = 3,986.84/x
  3. Step 3: Cross multiply
    6,182.55x = 9,264.31 × 3,986.84
  4. Step 4: Simplify right side
    6,182.55x = 36,935,334.87
  5. Step 5: Solve for x
    x = 36,935,334.87/6,182.55
  6. Step 6: Final answer
    x = 5,974.13

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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.