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Finding the Fourth Proportional to 11,698.27, 17,521.97 and 7,257.02

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Solution

The fourth proportional to 11,698.27, 17,521.97 and 7,257.02 is: 10,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.27 : 17,521.97 = 7,257.02 : x
  2. Step 2: Convert to fraction form
    11,698.27/17,521.97 = 7,257.02/x
  3. Step 3: Cross multiply
    11,698.27x = 17,521.97 × 7,257.02
  4. Step 4: Simplify right side
    11,698.27x = 127,157,162.83
  5. Step 5: Solve for x
    x = 127,157,162.83/11,698.27
  6. Step 6: Final answer
    x = 10,869.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.