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Finding the Fourth Proportional to 14,641.14, 20,204.77 and 7,926.83

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Solution

The fourth proportional to 14,641.14, 20,204.77 and 7,926.83 is: 10,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.14 : 20,204.77 = 7,926.83 : x
  2. Step 2: Convert to fraction form
    14,641.14/20,204.77 = 7,926.83/x
  3. Step 3: Cross multiply
    14,641.14x = 20,204.77 × 7,926.83
  4. Step 4: Simplify right side
    14,641.14x = 160,159,706.65
  5. Step 5: Solve for x
    x = 160,159,706.65/14,641.14
  6. Step 6: Final answer
    x = 10,939.02

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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.