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Finding the Fourth Proportional to 6,947.76, 10,423.24 and 2,330.76

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Solution

The fourth proportional to 6,947.76, 10,423.24 and 2,330.76 is: 3,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.76 : 10,423.24 = 2,330.76 : x
  2. Step 2: Convert to fraction form
    6,947.76/10,423.24 = 2,330.76/x
  3. Step 3: Cross multiply
    6,947.76x = 10,423.24 × 2,330.76
  4. Step 4: Simplify right side
    6,947.76x = 24,294,070.86
  5. Step 5: Solve for x
    x = 24,294,070.86/6,947.76
  6. Step 6: Final answer
    x = 3,496.68

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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.