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Finding the Fourth Proportional to 13,804.56, 19,049.76 and 7,516.80

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Solution

The fourth proportional to 13,804.56, 19,049.76 and 7,516.80 is: 10,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.56 : 19,049.76 = 7,516.80 : x
  2. Step 2: Convert to fraction form
    13,804.56/19,049.76 = 7,516.80/x
  3. Step 3: Cross multiply
    13,804.56x = 19,049.76 × 7,516.80
  4. Step 4: Simplify right side
    13,804.56x = 143,193,235.97
  5. Step 5: Solve for x
    x = 143,193,235.97/13,804.56
  6. Step 6: Final answer
    x = 10,372.89

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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.