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Finding the Fourth Proportional to 6,810.88, 10,218.24 and 2,194.24

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Solution

The fourth proportional to 6,810.88, 10,218.24 and 2,194.24 is: 3,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.88 : 10,218.24 = 2,194.24 : x
  2. Step 2: Convert to fraction form
    6,810.88/10,218.24 = 2,194.24/x
  3. Step 3: Cross multiply
    6,810.88x = 10,218.24 × 2,194.24
  4. Step 4: Simplify right side
    6,810.88x = 22,421,270.94
  5. Step 5: Solve for x
    x = 22,421,270.94/6,810.88
  6. Step 6: Final answer
    x = 3,291.98

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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.