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Finding the Fourth Proportional to 6,811.26, 10,218.80 and 2,429.16

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Solution

The fourth proportional to 6,811.26, 10,218.80 and 2,429.16 is: 3,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.26 : 10,218.80 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    6,811.26/10,218.80 = 2,429.16/x
  3. Step 3: Cross multiply
    6,811.26x = 10,218.80 × 2,429.16
  4. Step 4: Simplify right side
    6,811.26x = 24,823,100.21
  5. Step 5: Solve for x
    x = 24,823,100.21/6,811.26
  6. Step 6: Final answer
    x = 3,644.42

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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.