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Finding the Fourth Proportional to 9,811.44, 14,717.16 and 6,902.76

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Solution

The fourth proportional to 9,811.44, 14,717.16 and 6,902.76 is: 10,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.44 : 14,717.16 = 6,902.76 : x
  2. Step 2: Convert to fraction form
    9,811.44/14,717.16 = 6,902.76/x
  3. Step 3: Cross multiply
    9,811.44x = 14,717.16 × 6,902.76
  4. Step 4: Simplify right side
    9,811.44x = 101,589,023.36
  5. Step 5: Solve for x
    x = 101,589,023.36/9,811.44
  6. Step 6: Final answer
    x = 10,354.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.