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Finding the Fourth Proportional to 6,506.33, 9,755.17 and 2,807.60

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Solution

The fourth proportional to 6,506.33, 9,755.17 and 2,807.60 is: 4,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.33 : 9,755.17 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    6,506.33/9,755.17 = 2,807.60/x
  3. Step 3: Cross multiply
    6,506.33x = 9,755.17 × 2,807.60
  4. Step 4: Simplify right side
    6,506.33x = 27,388,559.50
  5. Step 5: Solve for x
    x = 27,388,559.50/6,506.33
  6. Step 6: Final answer
    x = 4,209.53

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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.