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Finding the Fourth Proportional to 6,029.19, 9,044.10 and 1,646.10

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Solution

The fourth proportional to 6,029.19, 9,044.10 and 1,646.10 is: 2,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.19 : 9,044.10 = 1,646.10 : x
  2. Step 2: Convert to fraction form
    6,029.19/9,044.10 = 1,646.10/x
  3. Step 3: Cross multiply
    6,029.19x = 9,044.10 × 1,646.10
  4. Step 4: Simplify right side
    6,029.19x = 14,887,493.01
  5. Step 5: Solve for x
    x = 14,887,493.01/6,029.19
  6. Step 6: Final answer
    x = 2,469.24

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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.