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Finding the Fourth Proportional to 6,498.71, 9,749.50 and 3,034.07

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Solution

The fourth proportional to 6,498.71, 9,749.50 and 3,034.07 is: 4,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.71 : 9,749.50 = 3,034.07 : x
  2. Step 2: Convert to fraction form
    6,498.71/9,749.50 = 3,034.07/x
  3. Step 3: Cross multiply
    6,498.71x = 9,749.50 × 3,034.07
  4. Step 4: Simplify right side
    6,498.71x = 29,580,665.47
  5. Step 5: Solve for x
    x = 29,580,665.47/6,498.71
  6. Step 6: Final answer
    x = 4,551.77

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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.