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Finding the Fourth Proportional to 15,142.98, 20,893.11 and 9,091.65

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Solution

The fourth proportional to 15,142.98, 20,893.11 and 9,091.65 is: 12,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.98 : 20,893.11 = 9,091.65 : x
  2. Step 2: Convert to fraction form
    15,142.98/20,893.11 = 9,091.65/x
  3. Step 3: Cross multiply
    15,142.98x = 20,893.11 × 9,091.65
  4. Step 4: Simplify right side
    15,142.98x = 189,952,739.07
  5. Step 5: Solve for x
    x = 189,952,739.07/15,142.98
  6. Step 6: Final answer
    x = 12,543.95

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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.