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Finding the Fourth Proportional to 6,959.87, 10,440.08 and 1,765.88

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Solution

The fourth proportional to 6,959.87, 10,440.08 and 1,765.88 is: 2,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.87 : 10,440.08 = 1,765.88 : x
  2. Step 2: Convert to fraction form
    6,959.87/10,440.08 = 1,765.88/x
  3. Step 3: Cross multiply
    6,959.87x = 10,440.08 × 1,765.88
  4. Step 4: Simplify right side
    6,959.87x = 18,435,928.47
  5. Step 5: Solve for x
    x = 18,435,928.47/6,959.87
  6. Step 6: Final answer
    x = 2,648.89

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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.