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Finding the Fourth Proportional to 8,842.16, 12,202.17 and 5,305.34

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Solution

The fourth proportional to 8,842.16, 12,202.17 and 5,305.34 is: 7,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.16 : 12,202.17 = 5,305.34 : x
  2. Step 2: Convert to fraction form
    8,842.16/12,202.17 = 5,305.34/x
  3. Step 3: Cross multiply
    8,842.16x = 12,202.17 × 5,305.34
  4. Step 4: Simplify right side
    8,842.16x = 64,736,660.59
  5. Step 5: Solve for x
    x = 64,736,660.59/8,842.16
  6. Step 6: Final answer
    x = 7,321.36

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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.