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Finding the Fourth Proportional to 11,603.74, 16,013.07 and 6,298.44

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Solution

The fourth proportional to 11,603.74, 16,013.07 and 6,298.44 is: 8,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.74 : 16,013.07 = 6,298.44 : x
  2. Step 2: Convert to fraction form
    11,603.74/16,013.07 = 6,298.44/x
  3. Step 3: Cross multiply
    11,603.74x = 16,013.07 × 6,298.44
  4. Step 4: Simplify right side
    11,603.74x = 100,857,360.61
  5. Step 5: Solve for x
    x = 100,857,360.61/11,603.74
  6. Step 6: Final answer
    x = 8,691.80

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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.