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Finding the Fourth Proportional to 11,192.16, 15,445.94 and 7,408.81

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Solution

The fourth proportional to 11,192.16, 15,445.94 and 7,408.81 is: 10,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.16 : 15,445.94 = 7,408.81 : x
  2. Step 2: Convert to fraction form
    11,192.16/15,445.94 = 7,408.81/x
  3. Step 3: Cross multiply
    11,192.16x = 15,445.94 × 7,408.81
  4. Step 4: Simplify right side
    11,192.16x = 114,436,034.73
  5. Step 5: Solve for x
    x = 114,436,034.73/11,192.16
  6. Step 6: Final answer
    x = 10,224.66

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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.