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Finding the Fourth Proportional to 10,986.24, 15,161.22 and 6,018.24

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Solution

The fourth proportional to 10,986.24, 15,161.22 and 6,018.24 is: 8,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.24 : 15,161.22 = 6,018.24 : x
  2. Step 2: Convert to fraction form
    10,986.24/15,161.22 = 6,018.24/x
  3. Step 3: Cross multiply
    10,986.24x = 15,161.22 × 6,018.24
  4. Step 4: Simplify right side
    10,986.24x = 91,243,860.65
  5. Step 5: Solve for x
    x = 91,243,860.65/10,986.24
  6. Step 6: Final answer
    x = 8,305.29

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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.