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Finding the Fourth Proportional to 6,549.83, 9,825.11 and 1,869.48

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Solution

The fourth proportional to 6,549.83, 9,825.11 and 1,869.48 is: 2,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.83 : 9,825.11 = 1,869.48 : x
  2. Step 2: Convert to fraction form
    6,549.83/9,825.11 = 1,869.48/x
  3. Step 3: Cross multiply
    6,549.83x = 9,825.11 × 1,869.48
  4. Step 4: Simplify right side
    6,549.83x = 18,367,788.17
  5. Step 5: Solve for x
    x = 18,367,788.17/6,549.83
  6. Step 6: Final answer
    x = 2,804.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.