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Finding the Fourth Proportional to 8,222.91, 11,333.16 and 6,549.86

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Solution

The fourth proportional to 8,222.91, 11,333.16 and 6,549.86 is: 9,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.91 : 11,333.16 = 6,549.86 : x
  2. Step 2: Convert to fraction form
    8,222.91/11,333.16 = 6,549.86/x
  3. Step 3: Cross multiply
    8,222.91x = 11,333.16 × 6,549.86
  4. Step 4: Simplify right side
    8,222.91x = 74,230,554.69
  5. Step 5: Solve for x
    x = 74,230,554.69/8,222.91
  6. Step 6: Final answer
    x = 9,027.29

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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.