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Finding the Fourth Proportional to 7,102.44, 9,801.81 and 4,119.21

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Solution

The fourth proportional to 7,102.44, 9,801.81 and 4,119.21 is: 5,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.44 : 9,801.81 = 4,119.21 : x
  2. Step 2: Convert to fraction form
    7,102.44/9,801.81 = 4,119.21/x
  3. Step 3: Cross multiply
    7,102.44x = 9,801.81 × 4,119.21
  4. Step 4: Simplify right side
    7,102.44x = 40,375,713.77
  5. Step 5: Solve for x
    x = 40,375,713.77/7,102.44
  6. Step 6: Final answer
    x = 5,684.77

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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.