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Finding the Fourth Proportional to 10,854.44, 14,982.22 and 6,606.16

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Solution

The fourth proportional to 10,854.44, 14,982.22 and 6,606.16 is: 9,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.44 : 14,982.22 = 6,606.16 : x
  2. Step 2: Convert to fraction form
    10,854.44/14,982.22 = 6,606.16/x
  3. Step 3: Cross multiply
    10,854.44x = 14,982.22 × 6,606.16
  4. Step 4: Simplify right side
    10,854.44x = 98,974,942.48
  5. Step 5: Solve for x
    x = 98,974,942.48/10,854.44
  6. Step 6: Final answer
    x = 9,118.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.