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Finding the Fourth Proportional to 6,951.66, 10,418.74 and 4,966.95

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Solution

The fourth proportional to 6,951.66, 10,418.74 and 4,966.95 is: 7,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.66 : 10,418.74 = 4,966.95 : x
  2. Step 2: Convert to fraction form
    6,951.66/10,418.74 = 4,966.95/x
  3. Step 3: Cross multiply
    6,951.66x = 10,418.74 × 4,966.95
  4. Step 4: Simplify right side
    6,951.66x = 51,749,387.30
  5. Step 5: Solve for x
    x = 51,749,387.30/6,951.66
  6. Step 6: Final answer
    x = 7,444.18

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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.