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Finding the Fourth Proportional to 10,998.16, 16,498 and 3,600.64

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Solution

The fourth proportional to 10,998.16, 16,498 and 3,600.64 is: 5,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.16 : 16,498 = 3,600.64 : x
  2. Step 2: Convert to fraction form
    10,998.16/16,498 = 3,600.64/x
  3. Step 3: Cross multiply
    10,998.16x = 16,498 × 3,600.64
  4. Step 4: Simplify right side
    10,998.16x = 59,403,358.72
  5. Step 5: Solve for x
    x = 59,403,358.72/10,998.16
  6. Step 6: Final answer
    x = 5,401.21

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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.