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Finding the Fourth Proportional to 7,340.43, 11,012.22 and 3,442.71

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Solution

The fourth proportional to 7,340.43, 11,012.22 and 3,442.71 is: 5,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.43 : 11,012.22 = 3,442.71 : x
  2. Step 2: Convert to fraction form
    7,340.43/11,012.22 = 3,442.71/x
  3. Step 3: Cross multiply
    7,340.43x = 11,012.22 × 3,442.71
  4. Step 4: Simplify right side
    7,340.43x = 37,911,879.92
  5. Step 5: Solve for x
    x = 37,911,879.92/7,340.43
  6. Step 6: Final answer
    x = 5,164.80

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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.