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Finding the Fourth Proportional to 7,265.50, 10,899.87 and 2,648.50

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Solution

The fourth proportional to 7,265.50, 10,899.87 and 2,648.50 is: 3,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.50 : 10,899.87 = 2,648.50 : x
  2. Step 2: Convert to fraction form
    7,265.50/10,899.87 = 2,648.50/x
  3. Step 3: Cross multiply
    7,265.50x = 10,899.87 × 2,648.50
  4. Step 4: Simplify right side
    7,265.50x = 28,868,305.70
  5. Step 5: Solve for x
    x = 28,868,305.70/7,265.50
  6. Step 6: Final answer
    x = 3,973.34

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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.