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Finding the Fourth Proportional to 6,549.79, 9,824.69 and 2,166.07

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Solution

The fourth proportional to 6,549.79, 9,824.69 and 2,166.07 is: 3,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.79 : 9,824.69 = 2,166.07 : x
  2. Step 2: Convert to fraction form
    6,549.79/9,824.69 = 2,166.07/x
  3. Step 3: Cross multiply
    6,549.79x = 9,824.69 × 2,166.07
  4. Step 4: Simplify right side
    6,549.79x = 21,280,966.27
  5. Step 5: Solve for x
    x = 21,280,966.27/6,549.79
  6. Step 6: Final answer
    x = 3,249.11

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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.