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Finding the Fourth Proportional to 13,803.75, 19,049.22 and 7,516.17

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Solution

The fourth proportional to 13,803.75, 19,049.22 and 7,516.17 is: 10,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.75 : 19,049.22 = 7,516.17 : x
  2. Step 2: Convert to fraction form
    13,803.75/19,049.22 = 7,516.17/x
  3. Step 3: Cross multiply
    13,803.75x = 19,049.22 × 7,516.17
  4. Step 4: Simplify right side
    13,803.75x = 143,177,175.89
  5. Step 5: Solve for x
    x = 143,177,175.89/13,803.75
  6. Step 6: Final answer
    x = 10,372.34

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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.