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Finding the Fourth Proportional to 9,704.77, 14,557.15 and 7,747.81

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Solution

The fourth proportional to 9,704.77, 14,557.15 and 7,747.81 is: 11,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.77 : 14,557.15 = 7,747.81 : x
  2. Step 2: Convert to fraction form
    9,704.77/14,557.15 = 7,747.81/x
  3. Step 3: Cross multiply
    9,704.77x = 14,557.15 × 7,747.81
  4. Step 4: Simplify right side
    9,704.77x = 112,786,005.63
  5. Step 5: Solve for x
    x = 112,786,005.63/9,704.77
  6. Step 6: Final answer
    x = 11,621.71

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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.