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Finding the Fourth Proportional to 6,064.84, 8,363.94 and 3,824.20

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Solution

The fourth proportional to 6,064.84, 8,363.94 and 3,824.20 is: 5,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.84 : 8,363.94 = 3,824.20 : x
  2. Step 2: Convert to fraction form
    6,064.84/8,363.94 = 3,824.20/x
  3. Step 3: Cross multiply
    6,064.84x = 8,363.94 × 3,824.20
  4. Step 4: Simplify right side
    6,064.84x = 31,985,379.35
  5. Step 5: Solve for x
    x = 31,985,379.35/6,064.84
  6. Step 6: Final answer
    x = 5,273.90

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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.