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Finding the Fourth Proportional to 11,199, 15,454.68 and 6,231

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Solution

The fourth proportional to 11,199, 15,454.68 and 6,231 is: 8,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199 : 15,454.68 = 6,231 : x
  2. Step 2: Convert to fraction form
    11,199/15,454.68 = 6,231/x
  3. Step 3: Cross multiply
    11,199x = 15,454.68 × 6,231
  4. Step 4: Simplify right side
    11,199x = 96,298,111.08
  5. Step 5: Solve for x
    x = 96,298,111.08/11,199
  6. Step 6: Final answer
    x = 8,598.81

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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.