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Finding the Fourth Proportional to 6,356.40, 8,771.82 and 3,524.22

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Solution

The fourth proportional to 6,356.40, 8,771.82 and 3,524.22 is: 4,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.40 : 8,771.82 = 3,524.22 : x
  2. Step 2: Convert to fraction form
    6,356.40/8,771.82 = 3,524.22/x
  3. Step 3: Cross multiply
    6,356.40x = 8,771.82 × 3,524.22
  4. Step 4: Simplify right side
    6,356.40x = 30,913,823.48
  5. Step 5: Solve for x
    x = 30,913,823.48/6,356.40
  6. Step 6: Final answer
    x = 4,863.42

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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.