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Finding the Fourth Proportional to 6,548, 9,824.16 and 2,650.28

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Solution

The fourth proportional to 6,548, 9,824.16 and 2,650.28 is: 3,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548 : 9,824.16 = 2,650.28 : x
  2. Step 2: Convert to fraction form
    6,548/9,824.16 = 2,650.28/x
  3. Step 3: Cross multiply
    6,548x = 9,824.16 × 2,650.28
  4. Step 4: Simplify right side
    6,548x = 26,036,774.76
  5. Step 5: Solve for x
    x = 26,036,774.76/6,548
  6. Step 6: Final answer
    x = 3,976.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.