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Finding the Fourth Proportional to 6,465.25, 9,699.61 and 3,503

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Solution

The fourth proportional to 6,465.25, 9,699.61 and 3,503 is: 5,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.25 : 9,699.61 = 3,503 : x
  2. Step 2: Convert to fraction form
    6,465.25/9,699.61 = 3,503/x
  3. Step 3: Cross multiply
    6,465.25x = 9,699.61 × 3,503
  4. Step 4: Simplify right side
    6,465.25x = 33,977,733.83
  5. Step 5: Solve for x
    x = 33,977,733.83/6,465.25
  6. Step 6: Final answer
    x = 5,255.44

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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.