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Finding the Fourth Proportional to 6,778.54, 9,363.32 and 5,204.63

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Solution

The fourth proportional to 6,778.54, 9,363.32 and 5,204.63 is: 7,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.54 : 9,363.32 = 5,204.63 : x
  2. Step 2: Convert to fraction form
    6,778.54/9,363.32 = 5,204.63/x
  3. Step 3: Cross multiply
    6,778.54x = 9,363.32 × 5,204.63
  4. Step 4: Simplify right side
    6,778.54x = 48,732,633.07
  5. Step 5: Solve for x
    x = 48,732,633.07/6,778.54
  6. Step 6: Final answer
    x = 7,189.25

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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.