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Finding the Fourth Proportional to 6,756.44, 10,132.74 and 2,596.16

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Solution

The fourth proportional to 6,756.44, 10,132.74 and 2,596.16 is: 3,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.44 : 10,132.74 = 2,596.16 : x
  2. Step 2: Convert to fraction form
    6,756.44/10,132.74 = 2,596.16/x
  3. Step 3: Cross multiply
    6,756.44x = 10,132.74 × 2,596.16
  4. Step 4: Simplify right side
    6,756.44x = 26,306,214.28
  5. Step 5: Solve for x
    x = 26,306,214.28/6,756.44
  6. Step 6: Final answer
    x = 3,893.50

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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.