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Finding the Fourth Proportional to 6,515.90, 9,774.11 and 3,352.50

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Solution

The fourth proportional to 6,515.90, 9,774.11 and 3,352.50 is: 5,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.90 : 9,774.11 = 3,352.50 : x
  2. Step 2: Convert to fraction form
    6,515.90/9,774.11 = 3,352.50/x
  3. Step 3: Cross multiply
    6,515.90x = 9,774.11 × 3,352.50
  4. Step 4: Simplify right side
    6,515.90x = 32,767,687.01
  5. Step 5: Solve for x
    x = 32,767,687.01/6,515.90
  6. Step 6: Final answer
    x = 5,028.89

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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.