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Finding the Fourth Proportional to 13,706.22, 18,914.64 and 7,418.59

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Solution

The fourth proportional to 13,706.22, 18,914.64 and 7,418.59 is: 10,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.22 : 18,914.64 = 7,418.59 : x
  2. Step 2: Convert to fraction form
    13,706.22/18,914.64 = 7,418.59/x
  3. Step 3: Cross multiply
    13,706.22x = 18,914.64 × 7,418.59
  4. Step 4: Simplify right side
    13,706.22x = 140,319,959.16
  5. Step 5: Solve for x
    x = 140,319,959.16/13,706.22
  6. Step 6: Final answer
    x = 10,237.68

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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.