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Finding the Fourth Proportional to 7,380.68, 11,067.74 and 2,114.48

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Solution

The fourth proportional to 7,380.68, 11,067.74 and 2,114.48 is: 3,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.68 : 11,067.74 = 2,114.48 : x
  2. Step 2: Convert to fraction form
    7,380.68/11,067.74 = 2,114.48/x
  3. Step 3: Cross multiply
    7,380.68x = 11,067.74 × 2,114.48
  4. Step 4: Simplify right side
    7,380.68x = 23,402,547.83
  5. Step 5: Solve for x
    x = 23,402,547.83/7,380.68
  6. Step 6: Final answer
    x = 3,170.79

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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.