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Finding the Fourth Proportional to 6,870, 9,480.63 and 4,217.34

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Solution

The fourth proportional to 6,870, 9,480.63 and 4,217.34 is: 5,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870 : 9,480.63 = 4,217.34 : x
  2. Step 2: Convert to fraction form
    6,870/9,480.63 = 4,217.34/x
  3. Step 3: Cross multiply
    6,870x = 9,480.63 × 4,217.34
  4. Step 4: Simplify right side
    6,870x = 39,983,040.12
  5. Step 5: Solve for x
    x = 39,983,040.12/6,870
  6. Step 6: Final answer
    x = 5,819.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.