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Finding the Fourth Proportional to 9,692.46, 13,367.43 and 7,920.99

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Solution

The fourth proportional to 9,692.46, 13,367.43 and 7,920.99 is: 10,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.46 : 13,367.43 = 7,920.99 : x
  2. Step 2: Convert to fraction form
    9,692.46/13,367.43 = 7,920.99/x
  3. Step 3: Cross multiply
    9,692.46x = 13,367.43 × 7,920.99
  4. Step 4: Simplify right side
    9,692.46x = 105,883,279.36
  5. Step 5: Solve for x
    x = 105,883,279.36/9,692.46
  6. Step 6: Final answer
    x = 10,924.29

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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.