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Finding the Fourth Proportional to 16,603.14, 22,912.02 and 9,049.54

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Solution

The fourth proportional to 16,603.14, 22,912.02 and 9,049.54 is: 12,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.14 : 22,912.02 = 9,049.54 : x
  2. Step 2: Convert to fraction form
    16,603.14/22,912.02 = 9,049.54/x
  3. Step 3: Cross multiply
    16,603.14x = 22,912.02 × 9,049.54
  4. Step 4: Simplify right side
    16,603.14x = 207,343,241.47
  5. Step 5: Solve for x
    x = 207,343,241.47/16,603.14
  6. Step 6: Final answer
    x = 12,488.19

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1.5x scale

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.