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Finding the Fourth Proportional to 5,165.97, 7,746.12 and 1,832.55

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Solution

The fourth proportional to 5,165.97, 7,746.12 and 1,832.55 is: 2,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.97 : 7,746.12 = 1,832.55 : x
  2. Step 2: Convert to fraction form
    5,165.97/7,746.12 = 1,832.55/x
  3. Step 3: Cross multiply
    5,165.97x = 7,746.12 × 1,832.55
  4. Step 4: Simplify right side
    5,165.97x = 14,195,152.21
  5. Step 5: Solve for x
    x = 14,195,152.21/5,165.97
  6. Step 6: Final answer
    x = 2,747.82

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1.5x scale

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.