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Finding the Fourth Proportional to 13,734.62, 20,597.88 and 7,157.42

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Solution

The fourth proportional to 13,734.62, 20,597.88 and 7,157.42 is: 10,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.62 : 20,597.88 = 7,157.42 : x
  2. Step 2: Convert to fraction form
    13,734.62/20,597.88 = 7,157.42/x
  3. Step 3: Cross multiply
    13,734.62x = 20,597.88 × 7,157.42
  4. Step 4: Simplify right side
    13,734.62x = 147,427,678.27
  5. Step 5: Solve for x
    x = 147,427,678.27/13,734.62
  6. Step 6: Final answer
    x = 10,734.02

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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.