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Finding the Fourth Proportional to 13,416.91, 18,514.98 and 7,448.42

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Solution

The fourth proportional to 13,416.91, 18,514.98 and 7,448.42 is: 10,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.91 : 18,514.98 = 7,448.42 : x
  2. Step 2: Convert to fraction form
    13,416.91/18,514.98 = 7,448.42/x
  3. Step 3: Cross multiply
    13,416.91x = 18,514.98 × 7,448.42
  4. Step 4: Simplify right side
    13,416.91x = 137,907,393.62
  5. Step 5: Solve for x
    x = 137,907,393.62/13,416.91
  6. Step 6: Final answer
    x = 10,278.63

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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.