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Finding the Fourth Proportional to 8,322.36, 11,397.41 and 8,213.01

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Solution

The fourth proportional to 8,322.36, 11,397.41 and 8,213.01 is: 11,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.36 : 11,397.41 = 8,213.01 : x
  2. Step 2: Convert to fraction form
    8,322.36/11,397.41 = 8,213.01/x
  3. Step 3: Cross multiply
    8,322.36x = 11,397.41 × 8,213.01
  4. Step 4: Simplify right side
    8,322.36x = 93,607,001.24
  5. Step 5: Solve for x
    x = 93,607,001.24/8,322.36
  6. Step 6: Final answer
    x = 11,247.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.