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Finding the Fourth Proportional to 13,393.40, 18,481.16 and 7,424.24

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Solution

The fourth proportional to 13,393.40, 18,481.16 and 7,424.24 is: 10,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.40 : 18,481.16 = 7,424.24 : x
  2. Step 2: Convert to fraction form
    13,393.40/18,481.16 = 7,424.24/x
  3. Step 3: Cross multiply
    13,393.40x = 18,481.16 × 7,424.24
  4. Step 4: Simplify right side
    13,393.40x = 137,208,567.32
  5. Step 5: Solve for x
    x = 137,208,567.32/13,393.40
  6. Step 6: Final answer
    x = 10,244.49

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Half scale
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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.