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Finding the Fourth Proportional to 9,197.25, 12,692.25 and 5,005.50

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Solution

The fourth proportional to 9,197.25, 12,692.25 and 5,005.50 is: 6,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.25 : 12,692.25 = 5,005.50 : x
  2. Step 2: Convert to fraction form
    9,197.25/12,692.25 = 5,005.50/x
  3. Step 3: Cross multiply
    9,197.25x = 12,692.25 × 5,005.50
  4. Step 4: Simplify right side
    9,197.25x = 63,531,057.38
  5. Step 5: Solve for x
    x = 63,531,057.38/9,197.25
  6. Step 6: Final answer
    x = 6,907.61

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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.