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Finding the Fourth Proportional to 14,046.63, 19,383.32 and 8,078.31

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Solution

The fourth proportional to 14,046.63, 19,383.32 and 8,078.31 is: 11,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.63 : 19,383.32 = 8,078.31 : x
  2. Step 2: Convert to fraction form
    14,046.63/19,383.32 = 8,078.31/x
  3. Step 3: Cross multiply
    14,046.63x = 19,383.32 × 8,078.31
  4. Step 4: Simplify right side
    14,046.63x = 156,584,427.40
  5. Step 5: Solve for x
    x = 156,584,427.40/14,046.63
  6. Step 6: Final answer
    x = 11,147.47

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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.