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Finding the Fourth Proportional to 6,165.49, 9,245.52 and 1,781.92

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Solution

The fourth proportional to 6,165.49, 9,245.52 and 1,781.92 is: 2,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.49 : 9,245.52 = 1,781.92 : x
  2. Step 2: Convert to fraction form
    6,165.49/9,245.52 = 1,781.92/x
  3. Step 3: Cross multiply
    6,165.49x = 9,245.52 × 1,781.92
  4. Step 4: Simplify right side
    6,165.49x = 16,474,777.00
  5. Step 5: Solve for x
    x = 16,474,777.00/6,165.49
  6. Step 6: Final answer
    x = 2,672.10

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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.