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Finding the Fourth Proportional to 23,194.65, 34,780.44 and 7,397.61

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Solution

The fourth proportional to 23,194.65, 34,780.44 and 7,397.61 is: 11,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.65 : 34,780.44 = 7,397.61 : x
  2. Step 2: Convert to fraction form
    23,194.65/34,780.44 = 7,397.61/x
  3. Step 3: Cross multiply
    23,194.65x = 34,780.44 × 7,397.61
  4. Step 4: Simplify right side
    23,194.65x = 257,292,130.75
  5. Step 5: Solve for x
    x = 257,292,130.75/23,194.65
  6. Step 6: Final answer
    x = 11,092.74

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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.