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Finding the Fourth Proportional to 13,793.26, 19,034.74 and 7,505.64

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Solution

The fourth proportional to 13,793.26, 19,034.74 and 7,505.64 is: 10,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.26 : 19,034.74 = 7,505.64 : x
  2. Step 2: Convert to fraction form
    13,793.26/19,034.74 = 7,505.64/x
  3. Step 3: Cross multiply
    13,793.26x = 19,034.74 × 7,505.64
  4. Step 4: Simplify right side
    13,793.26x = 142,867,905.93
  5. Step 5: Solve for x
    x = 142,867,905.93/13,793.26
  6. Step 6: Final answer
    x = 10,357.81

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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.