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Finding the Fourth Proportional to 9,692.57, 14,538.87 and 2,767.07

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Solution

The fourth proportional to 9,692.57, 14,538.87 and 2,767.07 is: 4,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.57 : 14,538.87 = 2,767.07 : x
  2. Step 2: Convert to fraction form
    9,692.57/14,538.87 = 2,767.07/x
  3. Step 3: Cross multiply
    9,692.57x = 14,538.87 × 2,767.07
  4. Step 4: Simplify right side
    9,692.57x = 40,230,071.01
  5. Step 5: Solve for x
    x = 40,230,071.01/9,692.57
  6. Step 6: Final answer
    x = 4,150.61

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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.