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Finding the Fourth Proportional to 9,383.04, 12,964.68 and 8,202.24

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Solution

The fourth proportional to 9,383.04, 12,964.68 and 8,202.24 is: 11,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.04 : 12,964.68 = 8,202.24 : x
  2. Step 2: Convert to fraction form
    9,383.04/12,964.68 = 8,202.24/x
  3. Step 3: Cross multiply
    9,383.04x = 12,964.68 × 8,202.24
  4. Step 4: Simplify right side
    9,383.04x = 106,339,416.88
  5. Step 5: Solve for x
    x = 106,339,416.88/9,383.04
  6. Step 6: Final answer
    x = 11,333.15

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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.