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Finding the Fourth Proportional to 6,898, 10,348.08 and 2,282.08

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Solution

The fourth proportional to 6,898, 10,348.08 and 2,282.08 is: 3,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 10,348.08 = 2,282.08 : x
  2. Step 2: Convert to fraction form
    6,898/10,348.08 = 2,282.08/x
  3. Step 3: Cross multiply
    6,898x = 10,348.08 × 2,282.08
  4. Step 4: Simplify right side
    6,898x = 23,615,146.41
  5. Step 5: Solve for x
    x = 23,615,146.41/6,898
  6. Step 6: Final answer
    x = 3,423.48

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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.