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Finding the Fourth Proportional to 11,494.36, 15,863.93 and 7,020.68

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Solution

The fourth proportional to 11,494.36, 15,863.93 and 7,020.68 is: 9,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.36 : 15,863.93 = 7,020.68 : x
  2. Step 2: Convert to fraction form
    11,494.36/15,863.93 = 7,020.68/x
  3. Step 3: Cross multiply
    11,494.36x = 15,863.93 × 7,020.68
  4. Step 4: Simplify right side
    11,494.36x = 111,375,606.96
  5. Step 5: Solve for x
    x = 111,375,606.96/11,494.36
  6. Step 6: Final answer
    x = 9,689.59

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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.