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Finding the Fourth Proportional to 7,221.56, 9,967.41 and 4,238.35

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Solution

The fourth proportional to 7,221.56, 9,967.41 and 4,238.35 is: 5,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.56 : 9,967.41 = 4,238.35 : x
  2. Step 2: Convert to fraction form
    7,221.56/9,967.41 = 4,238.35/x
  3. Step 3: Cross multiply
    7,221.56x = 9,967.41 × 4,238.35
  4. Step 4: Simplify right side
    7,221.56x = 42,245,347.25
  5. Step 5: Solve for x
    x = 42,245,347.25/7,221.56
  6. Step 6: Final answer
    x = 5,849.90

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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.