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Finding the Fourth Proportional to 11,393.97, 15,714.78 and 7,416.36

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Solution

The fourth proportional to 11,393.97, 15,714.78 and 7,416.36 is: 10,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.97 : 15,714.78 = 7,416.36 : x
  2. Step 2: Convert to fraction form
    11,393.97/15,714.78 = 7,416.36/x
  3. Step 3: Cross multiply
    11,393.97x = 15,714.78 × 7,416.36
  4. Step 4: Simplify right side
    11,393.97x = 116,546,465.80
  5. Step 5: Solve for x
    x = 116,546,465.80/11,393.97
  6. Step 6: Final answer
    x = 10,228.78

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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.