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Finding the Fourth Proportional to 9,221.84, 13,823.16 and 6,906.32

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Solution

The fourth proportional to 9,221.84, 13,823.16 and 6,906.32 is: 10,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.84 : 13,823.16 = 6,906.32 : x
  2. Step 2: Convert to fraction form
    9,221.84/13,823.16 = 6,906.32/x
  3. Step 3: Cross multiply
    9,221.84x = 13,823.16 × 6,906.32
  4. Step 4: Simplify right side
    9,221.84x = 95,467,166.37
  5. Step 5: Solve for x
    x = 95,467,166.37/9,221.84
  6. Step 6: Final answer
    x = 10,352.29

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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.