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Finding the Fourth Proportional to 8,141.14, 12,202.74 and 5,326.60

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Solution

The fourth proportional to 8,141.14, 12,202.74 and 5,326.60 is: 7,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.14 : 12,202.74 = 5,326.60 : x
  2. Step 2: Convert to fraction form
    8,141.14/12,202.74 = 5,326.60/x
  3. Step 3: Cross multiply
    8,141.14x = 12,202.74 × 5,326.60
  4. Step 4: Simplify right side
    8,141.14x = 64,999,053.87
  5. Step 5: Solve for x
    x = 64,999,053.87/8,141.14
  6. Step 6: Final answer
    x = 7,984.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.