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Finding the Fourth Proportional to 6,378.75, 8,803.49 and 3,584.25

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Solution

The fourth proportional to 6,378.75, 8,803.49 and 3,584.25 is: 4,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 8,803.49 = 3,584.25 : x
  2. Step 2: Convert to fraction form
    6,378.75/8,803.49 = 3,584.25/x
  3. Step 3: Cross multiply
    6,378.75x = 8,803.49 × 3,584.25
  4. Step 4: Simplify right side
    6,378.75x = 31,553,891.11
  5. Step 5: Solve for x
    x = 31,553,891.11/6,378.75
  6. Step 6: Final answer
    x = 4,946.72

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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.