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Finding the Fourth Proportional to 11,853.64, 16,359.38 and 7,137.64

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Solution

The fourth proportional to 11,853.64, 16,359.38 and 7,137.64 is: 9,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.64 : 16,359.38 = 7,137.64 : x
  2. Step 2: Convert to fraction form
    11,853.64/16,359.38 = 7,137.64/x
  3. Step 3: Cross multiply
    11,853.64x = 16,359.38 × 7,137.64
  4. Step 4: Simplify right side
    11,853.64x = 116,767,365.06
  5. Step 5: Solve for x
    x = 116,767,365.06/11,853.64
  6. Step 6: Final answer
    x = 9,850.76

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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.