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Finding the Fourth Proportional to 8,221.36, 11,343 and 4,864.48

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Solution

The fourth proportional to 8,221.36, 11,343 and 4,864.48 is: 6,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.36 : 11,343 = 4,864.48 : x
  2. Step 2: Convert to fraction form
    8,221.36/11,343 = 4,864.48/x
  3. Step 3: Cross multiply
    8,221.36x = 11,343 × 4,864.48
  4. Step 4: Simplify right side
    8,221.36x = 55,177,796.64
  5. Step 5: Solve for x
    x = 55,177,796.64/8,221.36
  6. Step 6: Final answer
    x = 6,711.52

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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.