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Finding the Fourth Proportional to 6,751.60, 9,317.68 and 3,768.02

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Solution

The fourth proportional to 6,751.60, 9,317.68 and 3,768.02 is: 5,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.60 : 9,317.68 = 3,768.02 : x
  2. Step 2: Convert to fraction form
    6,751.60/9,317.68 = 3,768.02/x
  3. Step 3: Cross multiply
    6,751.60x = 9,317.68 × 3,768.02
  4. Step 4: Simplify right side
    6,751.60x = 35,109,204.72
  5. Step 5: Solve for x
    x = 35,109,204.72/6,751.60
  6. Step 6: Final answer
    x = 5,200.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.