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Finding the Fourth Proportional to 11,842.36, 16,342.49 and 6,537.16

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Solution

The fourth proportional to 11,842.36, 16,342.49 and 6,537.16 is: 9,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.36 : 16,342.49 = 6,537.16 : x
  2. Step 2: Convert to fraction form
    11,842.36/16,342.49 = 6,537.16/x
  3. Step 3: Cross multiply
    11,842.36x = 16,342.49 × 6,537.16
  4. Step 4: Simplify right side
    11,842.36x = 106,833,508.70
  5. Step 5: Solve for x
    x = 106,833,508.70/11,842.36
  6. Step 6: Final answer
    x = 9,021.30

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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.