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Finding the Fourth Proportional to 6,452, 9,677.48 and 2,068.28

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Solution

The fourth proportional to 6,452, 9,677.48 and 2,068.28 is: 3,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 9,677.48 = 2,068.28 : x
  2. Step 2: Convert to fraction form
    6,452/9,677.48 = 2,068.28/x
  3. Step 3: Cross multiply
    6,452x = 9,677.48 × 2,068.28
  4. Step 4: Simplify right side
    6,452x = 20,015,738.33
  5. Step 5: Solve for x
    x = 20,015,738.33/6,452
  6. Step 6: Final answer
    x = 3,102.25

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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.