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Finding the Fourth Proportional to 20,597.68, 30,902.10 and 6,746.68

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Solution

The fourth proportional to 20,597.68, 30,902.10 and 6,746.68 is: 10,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.68 : 30,902.10 = 6,746.68 : x
  2. Step 2: Convert to fraction form
    20,597.68/30,902.10 = 6,746.68/x
  3. Step 3: Cross multiply
    20,597.68x = 30,902.10 × 6,746.68
  4. Step 4: Simplify right side
    20,597.68x = 208,486,580.03
  5. Step 5: Solve for x
    x = 208,486,580.03/20,597.68
  6. Step 6: Final answer
    x = 10,121.85

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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.