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Finding the Fourth Proportional to 10,508.57, 15,770.93 and 7,846.80

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Solution

The fourth proportional to 10,508.57, 15,770.93 and 7,846.80 is: 11,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.57 : 15,770.93 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    10,508.57/15,770.93 = 7,846.80/x
  3. Step 3: Cross multiply
    10,508.57x = 15,770.93 × 7,846.80
  4. Step 4: Simplify right side
    10,508.57x = 123,751,294.29
  5. Step 5: Solve for x
    x = 123,751,294.29/10,508.57
  6. Step 6: Final answer
    x = 11,776.23

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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.