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Finding the Fourth Proportional to 6,507.16, 9,766.20 and 3,388.25

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Solution

The fourth proportional to 6,507.16, 9,766.20 and 3,388.25 is: 5,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.16 : 9,766.20 = 3,388.25 : x
  2. Step 2: Convert to fraction form
    6,507.16/9,766.20 = 3,388.25/x
  3. Step 3: Cross multiply
    6,507.16x = 9,766.20 × 3,388.25
  4. Step 4: Simplify right side
    6,507.16x = 33,090,327.15
  5. Step 5: Solve for x
    x = 33,090,327.15/6,507.16
  6. Step 6: Final answer
    x = 5,085.22

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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.