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Finding the Fourth Proportional to 11,205, 15,463.98 and 6,237

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Solution

The fourth proportional to 11,205, 15,463.98 and 6,237 is: 8,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205 : 15,463.98 = 6,237 : x
  2. Step 2: Convert to fraction form
    11,205/15,463.98 = 6,237/x
  3. Step 3: Cross multiply
    11,205x = 15,463.98 × 6,237
  4. Step 4: Simplify right side
    11,205x = 96,448,843.26
  5. Step 5: Solve for x
    x = 96,448,843.26/11,205
  6. Step 6: Final answer
    x = 8,607.66

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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.