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Finding the Fourth Proportional to 10,375.52, 15,563.25 and 2,584.34

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Solution

The fourth proportional to 10,375.52, 15,563.25 and 2,584.34 is: 3,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.52 : 15,563.25 = 2,584.34 : x
  2. Step 2: Convert to fraction form
    10,375.52/15,563.25 = 2,584.34/x
  3. Step 3: Cross multiply
    10,375.52x = 15,563.25 × 2,584.34
  4. Step 4: Simplify right side
    10,375.52x = 40,220,729.51
  5. Step 5: Solve for x
    x = 40,220,729.51/10,375.52
  6. Step 6: Final answer
    x = 3,876.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.