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Finding the Fourth Proportional to 6,648.50, 9,966.06 and 4,185.08

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Solution

The fourth proportional to 6,648.50, 9,966.06 and 4,185.08 is: 6,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.50 : 9,966.06 = 4,185.08 : x
  2. Step 2: Convert to fraction form
    6,648.50/9,966.06 = 4,185.08/x
  3. Step 3: Cross multiply
    6,648.50x = 9,966.06 × 4,185.08
  4. Step 4: Simplify right side
    6,648.50x = 41,708,758.38
  5. Step 5: Solve for x
    x = 41,708,758.38/6,648.50
  6. Step 6: Final answer
    x = 6,273.41

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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.