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Finding the Fourth Proportional to 7,023.40, 9,692.10 and 3,879.40

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Solution

The fourth proportional to 7,023.40, 9,692.10 and 3,879.40 is: 5,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.40 : 9,692.10 = 3,879.40 : x
  2. Step 2: Convert to fraction form
    7,023.40/9,692.10 = 3,879.40/x
  3. Step 3: Cross multiply
    7,023.40x = 9,692.10 × 3,879.40
  4. Step 4: Simplify right side
    7,023.40x = 37,599,532.74
  5. Step 5: Solve for x
    x = 37,599,532.74/7,023.40
  6. Step 6: Final answer
    x = 5,353.47

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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.