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Finding the Fourth Proportional to 7,182.99, 9,911.07 and 4,198.26

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Solution

The fourth proportional to 7,182.99, 9,911.07 and 4,198.26 is: 5,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.99 : 9,911.07 = 4,198.26 : x
  2. Step 2: Convert to fraction form
    7,182.99/9,911.07 = 4,198.26/x
  3. Step 3: Cross multiply
    7,182.99x = 9,911.07 × 4,198.26
  4. Step 4: Simplify right side
    7,182.99x = 41,609,248.74
  5. Step 5: Solve for x
    x = 41,609,248.74/7,182.99
  6. Step 6: Final answer
    x = 5,792.75

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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.