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Finding the Fourth Proportional to 14,043.64, 19,383.54 and 8,078.75

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Solution

The fourth proportional to 14,043.64, 19,383.54 and 8,078.75 is: 11,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.64 : 19,383.54 = 8,078.75 : x
  2. Step 2: Convert to fraction form
    14,043.64/19,383.54 = 8,078.75/x
  3. Step 3: Cross multiply
    14,043.64x = 19,383.54 × 8,078.75
  4. Step 4: Simplify right side
    14,043.64x = 156,594,773.78
  5. Step 5: Solve for x
    x = 156,594,773.78/14,043.64
  6. Step 6: Final answer
    x = 11,150.58

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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.