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Finding the Fourth Proportional to 6,898.25, 10,349 and 2,281.25

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Solution

The fourth proportional to 6,898.25, 10,349 and 2,281.25 is: 3,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.25 : 10,349 = 2,281.25 : x
  2. Step 2: Convert to fraction form
    6,898.25/10,349 = 2,281.25/x
  3. Step 3: Cross multiply
    6,898.25x = 10,349 × 2,281.25
  4. Step 4: Simplify right side
    6,898.25x = 23,608,656.25
  5. Step 5: Solve for x
    x = 23,608,656.25/6,898.25
  6. Step 6: Final answer
    x = 3,422.41

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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.