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Finding the Fourth Proportional to 11,842.74, 16,342.98 and 6,537.56

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Solution

The fourth proportional to 11,842.74, 16,342.98 and 6,537.56 is: 9,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.74 : 16,342.98 = 6,537.56 : x
  2. Step 2: Convert to fraction form
    11,842.74/16,342.98 = 6,537.56/x
  3. Step 3: Cross multiply
    11,842.74x = 16,342.98 × 6,537.56
  4. Step 4: Simplify right side
    11,842.74x = 106,843,130.61
  5. Step 5: Solve for x
    x = 106,843,130.61/11,842.74
  6. Step 6: Final answer
    x = 9,021.83

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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.