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Finding the Fourth Proportional to 7,843.83, 11,769.57 and 3,460.74

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Solution

The fourth proportional to 7,843.83, 11,769.57 and 3,460.74 is: 5,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.83 : 11,769.57 = 3,460.74 : x
  2. Step 2: Convert to fraction form
    7,843.83/11,769.57 = 3,460.74/x
  3. Step 3: Cross multiply
    7,843.83x = 11,769.57 × 3,460.74
  4. Step 4: Simplify right side
    7,843.83x = 40,731,421.68
  5. Step 5: Solve for x
    x = 40,731,421.68/7,843.83
  6. Step 6: Final answer
    x = 5,192.80

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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.