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Finding the Fourth Proportional to 6,378.49, 8,803.70 and 3,546.83

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Solution

The fourth proportional to 6,378.49, 8,803.70 and 3,546.83 is: 4,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.49 : 8,803.70 = 3,546.83 : x
  2. Step 2: Convert to fraction form
    6,378.49/8,803.70 = 3,546.83/x
  3. Step 3: Cross multiply
    6,378.49x = 8,803.70 × 3,546.83
  4. Step 4: Simplify right side
    6,378.49x = 31,225,183.25
  5. Step 5: Solve for x
    x = 31,225,183.25/6,378.49
  6. Step 6: Final answer
    x = 4,895.39

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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.