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Finding the Fourth Proportional to 13,427.48, 18,529 and 7,458.84

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Solution

The fourth proportional to 13,427.48, 18,529 and 7,458.84 is: 10,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.48 : 18,529 = 7,458.84 : x
  2. Step 2: Convert to fraction form
    13,427.48/18,529 = 7,458.84/x
  3. Step 3: Cross multiply
    13,427.48x = 18,529 × 7,458.84
  4. Step 4: Simplify right side
    13,427.48x = 138,204,846.36
  5. Step 5: Solve for x
    x = 138,204,846.36/13,427.48
  6. Step 6: Final answer
    x = 10,292.69

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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.