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Finding the Fourth Proportional to 12,822.89, 17,692.47 and 7,516.68

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Solution

The fourth proportional to 12,822.89, 17,692.47 and 7,516.68 is: 10,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.89 : 17,692.47 = 7,516.68 : x
  2. Step 2: Convert to fraction form
    12,822.89/17,692.47 = 7,516.68/x
  3. Step 3: Cross multiply
    12,822.89x = 17,692.47 × 7,516.68
  4. Step 4: Simplify right side
    12,822.89x = 132,988,717.62
  5. Step 5: Solve for x
    x = 132,988,717.62/12,822.89
  6. Step 6: Final answer
    x = 10,371.20

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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.