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Finding the Fourth Proportional to 6,881.90, 9,497.03 and 3,738.08

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Solution

The fourth proportional to 6,881.90, 9,497.03 and 3,738.08 is: 5,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.90 : 9,497.03 = 3,738.08 : x
  2. Step 2: Convert to fraction form
    6,881.90/9,497.03 = 3,738.08/x
  3. Step 3: Cross multiply
    6,881.90x = 9,497.03 × 3,738.08
  4. Step 4: Simplify right side
    6,881.90x = 35,500,657.90
  5. Step 5: Solve for x
    x = 35,500,657.90/6,881.90
  6. Step 6: Final answer
    x = 5,158.55

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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.