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Finding the Fourth Proportional to 11,860.64, 16,366.01 and 6,822.94

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Solution

The fourth proportional to 11,860.64, 16,366.01 and 6,822.94 is: 9,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.64 : 16,366.01 = 6,822.94 : x
  2. Step 2: Convert to fraction form
    11,860.64/16,366.01 = 6,822.94/x
  3. Step 3: Cross multiply
    11,860.64x = 16,366.01 × 6,822.94
  4. Step 4: Simplify right side
    11,860.64x = 111,664,304.27
  5. Step 5: Solve for x
    x = 111,664,304.27/11,860.64
  6. Step 6: Final answer
    x = 9,414.69

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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.