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Finding the Fourth Proportional to 9,727.78, 13,514.96 and 9,611.14

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Solution

The fourth proportional to 9,727.78, 13,514.96 and 9,611.14 is: 13,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.78 : 13,514.96 = 9,611.14 : x
  2. Step 2: Convert to fraction form
    9,727.78/13,514.96 = 9,611.14/x
  3. Step 3: Cross multiply
    9,727.78x = 13,514.96 × 9,611.14
  4. Step 4: Simplify right side
    9,727.78x = 129,894,172.65
  5. Step 5: Solve for x
    x = 129,894,172.65/9,727.78
  6. Step 6: Final answer
    x = 13,352.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.