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Finding the Fourth Proportional to 10,692.54, 16,029.09 and 7,222.50

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Solution

The fourth proportional to 10,692.54, 16,029.09 and 7,222.50 is: 10,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.54 : 16,029.09 = 7,222.50 : x
  2. Step 2: Convert to fraction form
    10,692.54/16,029.09 = 7,222.50/x
  3. Step 3: Cross multiply
    10,692.54x = 16,029.09 × 7,222.50
  4. Step 4: Simplify right side
    10,692.54x = 115,770,102.53
  5. Step 5: Solve for x
    x = 115,770,102.53/10,692.54
  6. Step 6: Final answer
    x = 10,827.18

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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.