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Finding the Fourth Proportional to 13,253.76, 19,889.76 and 5,462.56

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Solution

The fourth proportional to 13,253.76, 19,889.76 and 5,462.56 is: 8,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.76 : 19,889.76 = 5,462.56 : x
  2. Step 2: Convert to fraction form
    13,253.76/19,889.76 = 5,462.56/x
  3. Step 3: Cross multiply
    13,253.76x = 19,889.76 × 5,462.56
  4. Step 4: Simplify right side
    13,253.76x = 108,649,007.39
  5. Step 5: Solve for x
    x = 108,649,007.39/13,253.76
  6. Step 6: Final answer
    x = 8,197.60

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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.