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Finding the Fourth Proportional to 11,973.14, 16,524.90 and 9,135.17

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Solution

The fourth proportional to 11,973.14, 16,524.90 and 9,135.17 is: 12,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.14 : 16,524.90 = 9,135.17 : x
  2. Step 2: Convert to fraction form
    11,973.14/16,524.90 = 9,135.17/x
  3. Step 3: Cross multiply
    11,973.14x = 16,524.90 × 9,135.17
  4. Step 4: Simplify right side
    11,973.14x = 150,957,688.11
  5. Step 5: Solve for x
    x = 150,957,688.11/11,973.14
  6. Step 6: Final answer
    x = 12,608.03

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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.