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Finding the Fourth Proportional to 11,842.55, 16,343.07 and 6,537.71

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Solution

The fourth proportional to 11,842.55, 16,343.07 and 6,537.71 is: 9,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.55 : 16,343.07 = 6,537.71 : x
  2. Step 2: Convert to fraction form
    11,842.55/16,343.07 = 6,537.71/x
  3. Step 3: Cross multiply
    11,842.55x = 16,343.07 × 6,537.71
  4. Step 4: Simplify right side
    11,842.55x = 106,846,252.17
  5. Step 5: Solve for x
    x = 106,846,252.17/11,842.55
  6. Step 6: Final answer
    x = 9,022.23

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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.