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Finding the Fourth Proportional to 6,021.06, 9,032.13 and 1,638.54

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Solution

The fourth proportional to 6,021.06, 9,032.13 and 1,638.54 is: 2,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.06 : 9,032.13 = 1,638.54 : x
  2. Step 2: Convert to fraction form
    6,021.06/9,032.13 = 1,638.54/x
  3. Step 3: Cross multiply
    6,021.06x = 9,032.13 × 1,638.54
  4. Step 4: Simplify right side
    6,021.06x = 14,799,506.29
  5. Step 5: Solve for x
    x = 14,799,506.29/6,021.06
  6. Step 6: Final answer
    x = 2,457.96

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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.