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Finding the Fourth Proportional to 8,494.22, 12,726.29 and 7,635.82

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Solution

The fourth proportional to 8,494.22, 12,726.29 and 7,635.82 is: 11,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.22 : 12,726.29 = 7,635.82 : x
  2. Step 2: Convert to fraction form
    8,494.22/12,726.29 = 7,635.82/x
  3. Step 3: Cross multiply
    8,494.22x = 12,726.29 × 7,635.82
  4. Step 4: Simplify right side
    8,494.22x = 97,175,649.37
  5. Step 5: Solve for x
    x = 97,175,649.37/8,494.22
  6. Step 6: Final answer
    x = 11,440.21

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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.