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Finding the Fourth Proportional to 7,808.68, 11,713.52 and 2,471.12

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Solution

The fourth proportional to 7,808.68, 11,713.52 and 2,471.12 is: 3,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.68 : 11,713.52 = 2,471.12 : x
  2. Step 2: Convert to fraction form
    7,808.68/11,713.52 = 2,471.12/x
  3. Step 3: Cross multiply
    7,808.68x = 11,713.52 × 2,471.12
  4. Step 4: Simplify right side
    7,808.68x = 28,945,513.54
  5. Step 5: Solve for x
    x = 28,945,513.54/7,808.68
  6. Step 6: Final answer
    x = 3,706.84

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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.