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Finding the Fourth Proportional to 6,346.24, 8,754.24 and 4,480

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Solution

The fourth proportional to 6,346.24, 8,754.24 and 4,480 is: 6,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.24 : 8,754.24 = 4,480 : x
  2. Step 2: Convert to fraction form
    6,346.24/8,754.24 = 4,480/x
  3. Step 3: Cross multiply
    6,346.24x = 8,754.24 × 4,480
  4. Step 4: Simplify right side
    6,346.24x = 39,218,995.20
  5. Step 5: Solve for x
    x = 39,218,995.20/6,346.24
  6. Step 6: Final answer
    x = 6,179.88

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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.