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Finding the Fourth Proportional to 4,462.56, 6,166.02 and 4,304.88

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Solution

The fourth proportional to 4,462.56, 6,166.02 and 4,304.88 is: 5,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.56 : 6,166.02 = 4,304.88 : x
  2. Step 2: Convert to fraction form
    4,462.56/6,166.02 = 4,304.88/x
  3. Step 3: Cross multiply
    4,462.56x = 6,166.02 × 4,304.88
  4. Step 4: Simplify right side
    4,462.56x = 26,543,976.18
  5. Step 5: Solve for x
    x = 26,543,976.18/4,462.56
  6. Step 6: Final answer
    x = 5,948.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.