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Finding the Fourth Proportional to 8,462.40, 11,665.68 and 5,936.88

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Solution

The fourth proportional to 8,462.40, 11,665.68 and 5,936.88 is: 8,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.40 : 11,665.68 = 5,936.88 : x
  2. Step 2: Convert to fraction form
    8,462.40/11,665.68 = 5,936.88/x
  3. Step 3: Cross multiply
    8,462.40x = 11,665.68 × 5,936.88
  4. Step 4: Simplify right side
    8,462.40x = 69,257,742.28
  5. Step 5: Solve for x
    x = 69,257,742.28/8,462.40
  6. Step 6: Final answer
    x = 8,184.17

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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.