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Finding the Fourth Proportional to 4,007.76, 6,012.44 and 1,411.44

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Solution

The fourth proportional to 4,007.76, 6,012.44 and 1,411.44 is: 2,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.76 : 6,012.44 = 1,411.44 : x
  2. Step 2: Convert to fraction form
    4,007.76/6,012.44 = 1,411.44/x
  3. Step 3: Cross multiply
    4,007.76x = 6,012.44 × 1,411.44
  4. Step 4: Simplify right side
    4,007.76x = 8,486,198.31
  5. Step 5: Solve for x
    x = 8,486,198.31/4,007.76
  6. Step 6: Final answer
    x = 2,117.44

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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.