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Finding the Fourth Proportional to 9,910.54, 14,865.81 and 2,985.04

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Solution

The fourth proportional to 9,910.54, 14,865.81 and 2,985.04 is: 4,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.54 : 14,865.81 = 2,985.04 : x
  2. Step 2: Convert to fraction form
    9,910.54/14,865.81 = 2,985.04/x
  3. Step 3: Cross multiply
    9,910.54x = 14,865.81 × 2,985.04
  4. Step 4: Simplify right side
    9,910.54x = 44,375,037.48
  5. Step 5: Solve for x
    x = 44,375,037.48/9,910.54
  6. Step 6: Final answer
    x = 4,477.56

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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.