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Finding the Fourth Proportional to 6,499.32, 9,750 and 2,802.60

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Solution

The fourth proportional to 6,499.32, 9,750 and 2,802.60 is: 4,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.32 : 9,750 = 2,802.60 : x
  2. Step 2: Convert to fraction form
    6,499.32/9,750 = 2,802.60/x
  3. Step 3: Cross multiply
    6,499.32x = 9,750 × 2,802.60
  4. Step 4: Simplify right side
    6,499.32x = 27,325,350
  5. Step 5: Solve for x
    x = 27,325,350/6,499.32
  6. Step 6: Final answer
    x = 4,204.34

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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.