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Finding the Fourth Proportional to 6,130.17, 9,195.30 and 1,747.66

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Solution

The fourth proportional to 6,130.17, 9,195.30 and 1,747.66 is: 2,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.17 : 9,195.30 = 1,747.66 : x
  2. Step 2: Convert to fraction form
    6,130.17/9,195.30 = 1,747.66/x
  3. Step 3: Cross multiply
    6,130.17x = 9,195.30 × 1,747.66
  4. Step 4: Simplify right side
    6,130.17x = 16,070,258.00
  5. Step 5: Solve for x
    x = 16,070,258.00/6,130.17
  6. Step 6: Final answer
    x = 2,621.50

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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.