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Finding the Fourth Proportional to 5,633.22, 7,769.12 and 4,220.22

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Solution

The fourth proportional to 5,633.22, 7,769.12 and 4,220.22 is: 5,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.22 : 7,769.12 = 4,220.22 : x
  2. Step 2: Convert to fraction form
    5,633.22/7,769.12 = 4,220.22/x
  3. Step 3: Cross multiply
    5,633.22x = 7,769.12 × 4,220.22
  4. Step 4: Simplify right side
    5,633.22x = 32,787,395.61
  5. Step 5: Solve for x
    x = 32,787,395.61/5,633.22
  6. Step 6: Final answer
    x = 5,820.36

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Half scale
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Double scale
Find fourth proportional to 5,634.22, 7,770.50 and 4,221.22
Similar ratio
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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.