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Finding the Fourth Proportional to 6,564.98, 9,843.12 and 3,441.22

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Solution

The fourth proportional to 6,564.98, 9,843.12 and 3,441.22 is: 5,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.98 : 9,843.12 = 3,441.22 : x
  2. Step 2: Convert to fraction form
    6,564.98/9,843.12 = 3,441.22/x
  3. Step 3: Cross multiply
    6,564.98x = 9,843.12 × 3,441.22
  4. Step 4: Simplify right side
    6,564.98x = 33,872,316.80
  5. Step 5: Solve for x
    x = 33,872,316.80/6,564.98
  6. Step 6: Final answer
    x = 5,159.54

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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.