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Finding the Fourth Proportional to 7,182.78, 9,908.91 and 4,198.74

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Solution

The fourth proportional to 7,182.78, 9,908.91 and 4,198.74 is: 5,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.78 : 9,908.91 = 4,198.74 : x
  2. Step 2: Convert to fraction form
    7,182.78/9,908.91 = 4,198.74/x
  3. Step 3: Cross multiply
    7,182.78x = 9,908.91 × 4,198.74
  4. Step 4: Simplify right side
    7,182.78x = 41,604,936.77
  5. Step 5: Solve for x
    x = 41,604,936.77/7,182.78
  6. Step 6: Final answer
    x = 5,792.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.