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Finding the Fourth Proportional to 7,808.24, 11,712.24 and 2,614.08

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Solution

The fourth proportional to 7,808.24, 11,712.24 and 2,614.08 is: 3,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.24 : 11,712.24 = 2,614.08 : x
  2. Step 2: Convert to fraction form
    7,808.24/11,712.24 = 2,614.08/x
  3. Step 3: Cross multiply
    7,808.24x = 11,712.24 × 2,614.08
  4. Step 4: Simplify right side
    7,808.24x = 30,616,732.34
  5. Step 5: Solve for x
    x = 30,616,732.34/7,808.24
  6. Step 6: Final answer
    x = 3,921.08

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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.