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Finding the Fourth Proportional to 6,032.17, 9,047.55 and 1,649.98

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Solution

The fourth proportional to 6,032.17, 9,047.55 and 1,649.98 is: 2,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.17 : 9,047.55 = 1,649.98 : x
  2. Step 2: Convert to fraction form
    6,032.17/9,047.55 = 1,649.98/x
  3. Step 3: Cross multiply
    6,032.17x = 9,047.55 × 1,649.98
  4. Step 4: Simplify right side
    6,032.17x = 14,928,231.31
  5. Step 5: Solve for x
    x = 14,928,231.31/6,032.17
  6. Step 6: Final answer
    x = 2,474.77

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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.