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Finding the Fourth Proportional to 6,549.82, 9,822.78 and 1,869.52

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Solution

The fourth proportional to 6,549.82, 9,822.78 and 1,869.52 is: 2,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.82 : 9,822.78 = 1,869.52 : x
  2. Step 2: Convert to fraction form
    6,549.82/9,822.78 = 1,869.52/x
  3. Step 3: Cross multiply
    6,549.82x = 9,822.78 × 1,869.52
  4. Step 4: Simplify right side
    6,549.82x = 18,363,883.67
  5. Step 5: Solve for x
    x = 18,363,883.67/6,549.82
  6. Step 6: Final answer
    x = 2,803.72

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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.