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Finding the Fourth Proportional to 6,587.68, 9,879.48 and 2,204.12

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Solution

The fourth proportional to 6,587.68, 9,879.48 and 2,204.12 is: 3,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.68 : 9,879.48 = 2,204.12 : x
  2. Step 2: Convert to fraction form
    6,587.68/9,879.48 = 2,204.12/x
  3. Step 3: Cross multiply
    6,587.68x = 9,879.48 × 2,204.12
  4. Step 4: Simplify right side
    6,587.68x = 21,775,559.46
  5. Step 5: Solve for x
    x = 21,775,559.46/6,587.68
  6. Step 6: Final answer
    x = 3,305.50

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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.