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Finding the Fourth Proportional to 8,462.44, 11,678.34 and 4,736.44

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Solution

The fourth proportional to 8,462.44, 11,678.34 and 4,736.44 is: 6,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.44 : 11,678.34 = 4,736.44 : x
  2. Step 2: Convert to fraction form
    8,462.44/11,678.34 = 4,736.44/x
  3. Step 3: Cross multiply
    8,462.44x = 11,678.34 × 4,736.44
  4. Step 4: Simplify right side
    8,462.44x = 55,313,756.71
  5. Step 5: Solve for x
    x = 55,313,756.71/8,462.44
  6. Step 6: Final answer
    x = 6,536.38

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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.