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Finding the Fourth Proportional to 11,603.57, 16,012.94 and 6,298.38

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Solution

The fourth proportional to 11,603.57, 16,012.94 and 6,298.38 is: 8,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.57 : 16,012.94 = 6,298.38 : x
  2. Step 2: Convert to fraction form
    11,603.57/16,012.94 = 6,298.38/x
  3. Step 3: Cross multiply
    11,603.57x = 16,012.94 × 6,298.38
  4. Step 4: Simplify right side
    11,603.57x = 100,855,630.01
  5. Step 5: Solve for x
    x = 100,855,630.01/11,603.57
  6. Step 6: Final answer
    x = 8,691.78

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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.