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Finding the Fourth Proportional to 23,692.40, 35,538.44 and 9,649.14

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Solution

The fourth proportional to 23,692.40, 35,538.44 and 9,649.14 is: 14,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.40 : 35,538.44 = 9,649.14 : x
  2. Step 2: Convert to fraction form
    23,692.40/35,538.44 = 9,649.14/x
  3. Step 3: Cross multiply
    23,692.40x = 35,538.44 × 9,649.14
  4. Step 4: Simplify right side
    23,692.40x = 342,915,382.94
  5. Step 5: Solve for x
    x = 342,915,382.94/23,692.40
  6. Step 6: Final answer
    x = 14,473.64

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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.