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Finding the Fourth Proportional to 7,770.92, 10,723.87 and 4,234.13

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Solution

The fourth proportional to 7,770.92, 10,723.87 and 4,234.13 is: 5,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.92 : 10,723.87 = 4,234.13 : x
  2. Step 2: Convert to fraction form
    7,770.92/10,723.87 = 4,234.13/x
  3. Step 3: Cross multiply
    7,770.92x = 10,723.87 × 4,234.13
  4. Step 4: Simplify right side
    7,770.92x = 45,406,207.65
  5. Step 5: Solve for x
    x = 45,406,207.65/7,770.92
  6. Step 6: Final answer
    x = 5,843.10

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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.