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Finding the Fourth Proportional to 6,692.22, 10,023.75 and 6,617.50

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Solution

The fourth proportional to 6,692.22, 10,023.75 and 6,617.50 is: 9,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.22 : 10,023.75 = 6,617.50 : x
  2. Step 2: Convert to fraction form
    6,692.22/10,023.75 = 6,617.50/x
  3. Step 3: Cross multiply
    6,692.22x = 10,023.75 × 6,617.50
  4. Step 4: Simplify right side
    6,692.22x = 66,332,140.57
  5. Step 5: Solve for x
    x = 66,332,140.57/6,692.22
  6. Step 6: Final answer
    x = 9,911.83

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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.