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Finding the Fourth Proportional to 7,144.65, 9,859.41 and 4,161.51

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Solution

The fourth proportional to 7,144.65, 9,859.41 and 4,161.51 is: 5,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.65 : 9,859.41 = 4,161.51 : x
  2. Step 2: Convert to fraction form
    7,144.65/9,859.41 = 4,161.51/x
  3. Step 3: Cross multiply
    7,144.65x = 9,859.41 × 4,161.51
  4. Step 4: Simplify right side
    7,144.65x = 41,030,033.31
  5. Step 5: Solve for x
    x = 41,030,033.31/7,144.65
  6. Step 6: Final answer
    x = 5,742.76

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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.