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Finding the Fourth Proportional to 6,598.12, 9,106.50 and 3,766

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Solution

The fourth proportional to 6,598.12, 9,106.50 and 3,766 is: 5,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.12 : 9,106.50 = 3,766 : x
  2. Step 2: Convert to fraction form
    6,598.12/9,106.50 = 3,766/x
  3. Step 3: Cross multiply
    6,598.12x = 9,106.50 × 3,766
  4. Step 4: Simplify right side
    6,598.12x = 34,295,079
  5. Step 5: Solve for x
    x = 34,295,079/6,598.12
  6. Step 6: Final answer
    x = 5,197.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.