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Finding the Fourth Proportional to 9,910.78, 13,677.04 and 5,932.06

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Solution

The fourth proportional to 9,910.78, 13,677.04 and 5,932.06 is: 8,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.78 : 13,677.04 = 5,932.06 : x
  2. Step 2: Convert to fraction form
    9,910.78/13,677.04 = 5,932.06/x
  3. Step 3: Cross multiply
    9,910.78x = 13,677.04 × 5,932.06
  4. Step 4: Simplify right side
    9,910.78x = 81,133,021.90
  5. Step 5: Solve for x
    x = 81,133,021.90/9,910.78
  6. Step 6: Final answer
    x = 8,186.34

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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.