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Finding the Fourth Proportional to 13,299, 18,352.54 and 7,249.24

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Solution

The fourth proportional to 13,299, 18,352.54 and 7,249.24 is: 10,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299 : 18,352.54 = 7,249.24 : x
  2. Step 2: Convert to fraction form
    13,299/18,352.54 = 7,249.24/x
  3. Step 3: Cross multiply
    13,299x = 18,352.54 × 7,249.24
  4. Step 4: Simplify right side
    13,299x = 133,041,967.07
  5. Step 5: Solve for x
    x = 133,041,967.07/13,299
  6. Step 6: Final answer
    x = 10,003.91

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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.