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Finding the Fourth Proportional to 5,946.80, 8,206.64 and 3,294.24

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Solution

The fourth proportional to 5,946.80, 8,206.64 and 3,294.24 is: 4,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.80 : 8,206.64 = 3,294.24 : x
  2. Step 2: Convert to fraction form
    5,946.80/8,206.64 = 3,294.24/x
  3. Step 3: Cross multiply
    5,946.80x = 8,206.64 × 3,294.24
  4. Step 4: Simplify right side
    5,946.80x = 27,034,641.75
  5. Step 5: Solve for x
    x = 27,034,641.75/5,946.80
  6. Step 6: Final answer
    x = 4,546.08

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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.