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Finding the Fourth Proportional to 10,383.12, 14,394.56 and 9,822.02

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Solution

The fourth proportional to 10,383.12, 14,394.56 and 9,822.02 is: 13,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.12 : 14,394.56 = 9,822.02 : x
  2. Step 2: Convert to fraction form
    10,383.12/14,394.56 = 9,822.02/x
  3. Step 3: Cross multiply
    10,383.12x = 14,394.56 × 9,822.02
  4. Step 4: Simplify right side
    10,383.12x = 141,383,691.59
  5. Step 5: Solve for x
    x = 141,383,691.59/10,383.12
  6. Step 6: Final answer
    x = 13,616.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.