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Finding the Fourth Proportional to 6,961.68, 10,445.76 and 3,494.88

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Solution

The fourth proportional to 6,961.68, 10,445.76 and 3,494.88 is: 5,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.68 : 10,445.76 = 3,494.88 : x
  2. Step 2: Convert to fraction form
    6,961.68/10,445.76 = 3,494.88/x
  3. Step 3: Cross multiply
    6,961.68x = 10,445.76 × 3,494.88
  4. Step 4: Simplify right side
    6,961.68x = 36,506,677.71
  5. Step 5: Solve for x
    x = 36,506,677.71/6,961.68
  6. Step 6: Final answer
    x = 5,243.95

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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.