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Finding the Fourth Proportional to 4,177.24, 6,305.11 and 4,177.24

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Solution

The fourth proportional to 4,177.24, 6,305.11 and 4,177.24 is: 6,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.24 : 6,305.11 = 4,177.24 : x
  2. Step 2: Convert to fraction form
    4,177.24/6,305.11 = 4,177.24/x
  3. Step 3: Cross multiply
    4,177.24x = 6,305.11 × 4,177.24
  4. Step 4: Simplify right side
    4,177.24x = 26,337,957.70
  5. Step 5: Solve for x
    x = 26,337,957.70/4,177.24
  6. Step 6: Final answer
    x = 6,305.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.