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Finding the Fourth Proportional to 13,741.98, 20,600.79 and 6,718.05

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Solution

The fourth proportional to 13,741.98, 20,600.79 and 6,718.05 is: 10,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.98 : 20,600.79 = 6,718.05 : x
  2. Step 2: Convert to fraction form
    13,741.98/20,600.79 = 6,718.05/x
  3. Step 3: Cross multiply
    13,741.98x = 20,600.79 × 6,718.05
  4. Step 4: Simplify right side
    13,741.98x = 138,397,137.26
  5. Step 5: Solve for x
    x = 138,397,137.26/13,741.98
  6. Step 6: Final answer
    x = 10,071.12

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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.