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Finding the Fourth Proportional to 13,751.14, 20,616.24 and 7,516.48

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Solution

The fourth proportional to 13,751.14, 20,616.24 and 7,516.48 is: 11,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.14 : 20,616.24 = 7,516.48 : x
  2. Step 2: Convert to fraction form
    13,751.14/20,616.24 = 7,516.48/x
  3. Step 3: Cross multiply
    13,751.14x = 20,616.24 × 7,516.48
  4. Step 4: Simplify right side
    13,751.14x = 154,961,555.64
  5. Step 5: Solve for x
    x = 154,961,555.64/13,751.14
  6. Step 6: Final answer
    x = 11,269.00

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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.