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Finding the Fourth Proportional to 6,032.70, 9,047.97 and 1,649.79

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Solution

The fourth proportional to 6,032.70, 9,047.97 and 1,649.79 is: 2,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.70 : 9,047.97 = 1,649.79 : x
  2. Step 2: Convert to fraction form
    6,032.70/9,047.97 = 1,649.79/x
  3. Step 3: Cross multiply
    6,032.70x = 9,047.97 × 1,649.79
  4. Step 4: Simplify right side
    6,032.70x = 14,927,250.43
  5. Step 5: Solve for x
    x = 14,927,250.43/6,032.70
  6. Step 6: Final answer
    x = 2,474.39

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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.