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Finding the Fourth Proportional to 11,171.68, 15,424.12 and 6,927.24

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Solution

The fourth proportional to 11,171.68, 15,424.12 and 6,927.24 is: 9,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.68 : 15,424.12 = 6,927.24 : x
  2. Step 2: Convert to fraction form
    11,171.68/15,424.12 = 6,927.24/x
  3. Step 3: Cross multiply
    11,171.68x = 15,424.12 × 6,927.24
  4. Step 4: Simplify right side
    11,171.68x = 106,846,581.03
  5. Step 5: Solve for x
    x = 106,846,581.03/11,171.68
  6. Step 6: Final answer
    x = 9,564.06

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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.