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Finding the Fourth Proportional to 6,170.50, 9,254.61 and 1,786.90

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Solution

The fourth proportional to 6,170.50, 9,254.61 and 1,786.90 is: 2,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.50 : 9,254.61 = 1,786.90 : x
  2. Step 2: Convert to fraction form
    6,170.50/9,254.61 = 1,786.90/x
  3. Step 3: Cross multiply
    6,170.50x = 9,254.61 × 1,786.90
  4. Step 4: Simplify right side
    6,170.50x = 16,537,062.61
  5. Step 5: Solve for x
    x = 16,537,062.61/6,170.50
  6. Step 6: Final answer
    x = 2,680.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.