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Finding the Fourth Proportional to 6,489.12, 9,733.68 and 4,182.24

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Solution

The fourth proportional to 6,489.12, 9,733.68 and 4,182.24 is: 6,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.12 : 9,733.68 = 4,182.24 : x
  2. Step 2: Convert to fraction form
    6,489.12/9,733.68 = 4,182.24/x
  3. Step 3: Cross multiply
    6,489.12x = 9,733.68 × 4,182.24
  4. Step 4: Simplify right side
    6,489.12x = 40,708,585.84
  5. Step 5: Solve for x
    x = 40,708,585.84/6,489.12
  6. Step 6: Final answer
    x = 6,273.36

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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.