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Finding the Fourth Proportional to 7,023.16, 9,692.04 and 3,879.48

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Solution

The fourth proportional to 7,023.16, 9,692.04 and 3,879.48 is: 5,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.16 : 9,692.04 = 3,879.48 : x
  2. Step 2: Convert to fraction form
    7,023.16/9,692.04 = 3,879.48/x
  3. Step 3: Cross multiply
    7,023.16x = 9,692.04 × 3,879.48
  4. Step 4: Simplify right side
    7,023.16x = 37,600,075.34
  5. Step 5: Solve for x
    x = 37,600,075.34/7,023.16
  6. Step 6: Final answer
    x = 5,353.73

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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.