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Finding the Fourth Proportional to 11,603.66, 16,013.07 and 6,298.48

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Solution

The fourth proportional to 11,603.66, 16,013.07 and 6,298.48 is: 8,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.66 : 16,013.07 = 6,298.48 : x
  2. Step 2: Convert to fraction form
    11,603.66/16,013.07 = 6,298.48/x
  3. Step 3: Cross multiply
    11,603.66x = 16,013.07 × 6,298.48
  4. Step 4: Simplify right side
    11,603.66x = 100,858,001.13
  5. Step 5: Solve for x
    x = 100,858,001.13/11,603.66
  6. Step 6: Final answer
    x = 8,691.91

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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.