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Finding the Fourth Proportional to 8,008.52, 11,996.46 and 6,533

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Solution

The fourth proportional to 8,008.52, 11,996.46 and 6,533 is: 9,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.52 : 11,996.46 = 6,533 : x
  2. Step 2: Convert to fraction form
    8,008.52/11,996.46 = 6,533/x
  3. Step 3: Cross multiply
    8,008.52x = 11,996.46 × 6,533
  4. Step 4: Simplify right side
    8,008.52x = 78,372,873.18
  5. Step 5: Solve for x
    x = 78,372,873.18/8,008.52
  6. Step 6: Final answer
    x = 9,786.19

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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.