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Finding the Fourth Proportional to 11,162, 15,403.56 and 6,194

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Solution

The fourth proportional to 11,162, 15,403.56 and 6,194 is: 8,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162 : 15,403.56 = 6,194 : x
  2. Step 2: Convert to fraction form
    11,162/15,403.56 = 6,194/x
  3. Step 3: Cross multiply
    11,162x = 15,403.56 × 6,194
  4. Step 4: Simplify right side
    11,162x = 95,409,650.64
  5. Step 5: Solve for x
    x = 95,409,650.64/11,162
  6. Step 6: Final answer
    x = 8,547.72

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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.