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Finding the Fourth Proportional to 6,659.75, 9,981.14 and 3,541.25

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Solution

The fourth proportional to 6,659.75, 9,981.14 and 3,541.25 is: 5,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.75 : 9,981.14 = 3,541.25 : x
  2. Step 2: Convert to fraction form
    6,659.75/9,981.14 = 3,541.25/x
  3. Step 3: Cross multiply
    6,659.75x = 9,981.14 × 3,541.25
  4. Step 4: Simplify right side
    6,659.75x = 35,345,712.03
  5. Step 5: Solve for x
    x = 35,345,712.03/6,659.75
  6. Step 6: Final answer
    x = 5,307.36

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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.