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Finding the Fourth Proportional to 6,691.06, 10,034.70 and 4,222.18

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Solution

The fourth proportional to 6,691.06, 10,034.70 and 4,222.18 is: 6,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.06 : 10,034.70 = 4,222.18 : x
  2. Step 2: Convert to fraction form
    6,691.06/10,034.70 = 4,222.18/x
  3. Step 3: Cross multiply
    6,691.06x = 10,034.70 × 4,222.18
  4. Step 4: Simplify right side
    6,691.06x = 42,368,309.65
  5. Step 5: Solve for x
    x = 42,368,309.65/6,691.06
  6. Step 6: Final answer
    x = 6,332.08

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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.