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Finding the Fourth Proportional to 6,595.50, 9,893.16 and 2,648.50

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Solution

The fourth proportional to 6,595.50, 9,893.16 and 2,648.50 is: 3,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.50 : 9,893.16 = 2,648.50 : x
  2. Step 2: Convert to fraction form
    6,595.50/9,893.16 = 2,648.50/x
  3. Step 3: Cross multiply
    6,595.50x = 9,893.16 × 2,648.50
  4. Step 4: Simplify right side
    6,595.50x = 26,202,034.26
  5. Step 5: Solve for x
    x = 26,202,034.26/6,595.50
  6. Step 6: Final answer
    x = 3,972.72

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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.