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Finding the Fourth Proportional to 9,220.14, 12,722.14 and 5,241.02

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Solution

The fourth proportional to 9,220.14, 12,722.14 and 5,241.02 is: 7,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.14 : 12,722.14 = 5,241.02 : x
  2. Step 2: Convert to fraction form
    9,220.14/12,722.14 = 5,241.02/x
  3. Step 3: Cross multiply
    9,220.14x = 12,722.14 × 5,241.02
  4. Step 4: Simplify right side
    9,220.14x = 66,676,933.12
  5. Step 5: Solve for x
    x = 66,676,933.12/9,220.14
  6. Step 6: Final answer
    x = 7,231.66

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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.