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Finding the Fourth Proportional to 8,334.21, 11,494.80 and 5,815.52

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Solution

The fourth proportional to 8,334.21, 11,494.80 and 5,815.52 is: 8,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.21 : 11,494.80 = 5,815.52 : x
  2. Step 2: Convert to fraction form
    8,334.21/11,494.80 = 5,815.52/x
  3. Step 3: Cross multiply
    8,334.21x = 11,494.80 × 5,815.52
  4. Step 4: Simplify right side
    8,334.21x = 66,848,181.82
  5. Step 5: Solve for x
    x = 66,848,181.82/8,334.21
  6. Step 6: Final answer
    x = 8,020.94

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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.