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Finding the Fourth Proportional to 4,687.50, 6,469.56 and 2,824.50

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Solution

The fourth proportional to 4,687.50, 6,469.56 and 2,824.50 is: 3,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.50 : 6,469.56 = 2,824.50 : x
  2. Step 2: Convert to fraction form
    4,687.50/6,469.56 = 2,824.50/x
  3. Step 3: Cross multiply
    4,687.50x = 6,469.56 × 2,824.50
  4. Step 4: Simplify right side
    4,687.50x = 18,273,272.22
  5. Step 5: Solve for x
    x = 18,273,272.22/4,687.50
  6. Step 6: Final answer
    x = 3,898.30

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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.