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Finding the Fourth Proportional to 5,946.88, 8,207.04 and 3,294.22

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Solution

The fourth proportional to 5,946.88, 8,207.04 and 3,294.22 is: 4,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.88 : 8,207.04 = 3,294.22 : x
  2. Step 2: Convert to fraction form
    5,946.88/8,207.04 = 3,294.22/x
  3. Step 3: Cross multiply
    5,946.88x = 8,207.04 × 3,294.22
  4. Step 4: Simplify right side
    5,946.88x = 27,035,795.31
  5. Step 5: Solve for x
    x = 27,035,795.31/5,946.88
  6. Step 6: Final answer
    x = 4,546.22

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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.