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Finding the Fourth Proportional to 12,431.84, 17,155.89 and 6,842.84

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Solution

The fourth proportional to 12,431.84, 17,155.89 and 6,842.84 is: 9,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.84 : 17,155.89 = 6,842.84 : x
  2. Step 2: Convert to fraction form
    12,431.84/17,155.89 = 6,842.84/x
  3. Step 3: Cross multiply
    12,431.84x = 17,155.89 × 6,842.84
  4. Step 4: Simplify right side
    12,431.84x = 117,394,924.55
  5. Step 5: Solve for x
    x = 117,394,924.55/12,431.84
  6. Step 6: Final answer
    x = 9,443.09

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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.