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Finding the Fourth Proportional to 9,910.76, 13,660.26 and 7,914.92

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Solution

The fourth proportional to 9,910.76, 13,660.26 and 7,914.92 is: 10,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.76 : 13,660.26 = 7,914.92 : x
  2. Step 2: Convert to fraction form
    9,910.76/13,660.26 = 7,914.92/x
  3. Step 3: Cross multiply
    9,910.76x = 13,660.26 × 7,914.92
  4. Step 4: Simplify right side
    9,910.76x = 108,119,865.08
  5. Step 5: Solve for x
    x = 108,119,865.08/9,910.76
  6. Step 6: Final answer
    x = 10,909.34

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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.