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Finding the Fourth Proportional to 6,949.20, 9,589.86 and 6,384.38

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Solution

The fourth proportional to 6,949.20, 9,589.86 and 6,384.38 is: 8,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.20 : 9,589.86 = 6,384.38 : x
  2. Step 2: Convert to fraction form
    6,949.20/9,589.86 = 6,384.38/x
  3. Step 3: Cross multiply
    6,949.20x = 9,589.86 × 6,384.38
  4. Step 4: Simplify right side
    6,949.20x = 61,225,310.39
  5. Step 5: Solve for x
    x = 61,225,310.39/6,949.20
  6. Step 6: Final answer
    x = 8,810.41

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1.5x scale

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.