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Finding the Fourth Proportional to 11,106, 15,326.44 and 6,138

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Solution

The fourth proportional to 11,106, 15,326.44 and 6,138 is: 8,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 15,326.44 = 6,138 : x
  2. Step 2: Convert to fraction form
    11,106/15,326.44 = 6,138/x
  3. Step 3: Cross multiply
    11,106x = 15,326.44 × 6,138
  4. Step 4: Simplify right side
    11,106x = 94,073,688.72
  5. Step 5: Solve for x
    x = 94,073,688.72/11,106
  6. Step 6: Final answer
    x = 8,470.53

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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.