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Finding the Fourth Proportional to 14,046.14, 19,383.68 and 8,077.68

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Solution

The fourth proportional to 14,046.14, 19,383.68 and 8,077.68 is: 11,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.14 : 19,383.68 = 8,077.68 : x
  2. Step 2: Convert to fraction form
    14,046.14/19,383.68 = 8,077.68/x
  3. Step 3: Cross multiply
    14,046.14x = 19,383.68 × 8,077.68
  4. Step 4: Simplify right side
    14,046.14x = 156,575,123.87
  5. Step 5: Solve for x
    x = 156,575,123.87/14,046.14
  6. Step 6: Final answer
    x = 11,147.20

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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.