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Finding the Fourth Proportional to 7,910.56, 11,782.13 and 7,494.16

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Solution

The fourth proportional to 7,910.56, 11,782.13 and 7,494.16 is: 11,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.56 : 11,782.13 = 7,494.16 : x
  2. Step 2: Convert to fraction form
    7,910.56/11,782.13 = 7,494.16/x
  3. Step 3: Cross multiply
    7,910.56x = 11,782.13 × 7,494.16
  4. Step 4: Simplify right side
    7,910.56x = 88,297,167.36
  5. Step 5: Solve for x
    x = 88,297,167.36/7,910.56
  6. Step 6: Final answer
    x = 11,161.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.