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Finding the Fourth Proportional to 6,532.08, 9,799.80 and 2,833.46

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Solution

The fourth proportional to 6,532.08, 9,799.80 and 2,833.46 is: 4,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.08 : 9,799.80 = 2,833.46 : x
  2. Step 2: Convert to fraction form
    6,532.08/9,799.80 = 2,833.46/x
  3. Step 3: Cross multiply
    6,532.08x = 9,799.80 × 2,833.46
  4. Step 4: Simplify right side
    6,532.08x = 27,767,341.31
  5. Step 5: Solve for x
    x = 27,767,341.31/6,532.08
  6. Step 6: Final answer
    x = 4,250.92

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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.