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Finding the Fourth Proportional to 6,692.50, 10,037.34 and 4,224.02

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Solution

The fourth proportional to 6,692.50, 10,037.34 and 4,224.02 is: 6,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.50 : 10,037.34 = 4,224.02 : x
  2. Step 2: Convert to fraction form
    6,692.50/10,037.34 = 4,224.02/x
  3. Step 3: Cross multiply
    6,692.50x = 10,037.34 × 4,224.02
  4. Step 4: Simplify right side
    6,692.50x = 42,397,924.91
  5. Step 5: Solve for x
    x = 42,397,924.91/6,692.50
  6. Step 6: Final answer
    x = 6,335.14

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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.