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Finding the Fourth Proportional to 9,288.64, 12,821.39 and 8,304.49

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Solution

The fourth proportional to 9,288.64, 12,821.39 and 8,304.49 is: 11,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.64 : 12,821.39 = 8,304.49 : x
  2. Step 2: Convert to fraction form
    9,288.64/12,821.39 = 8,304.49/x
  3. Step 3: Cross multiply
    9,288.64x = 12,821.39 × 8,304.49
  4. Step 4: Simplify right side
    9,288.64x = 106,475,105.04
  5. Step 5: Solve for x
    x = 106,475,105.04/9,288.64
  6. Step 6: Final answer
    x = 11,462.94

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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.