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Finding the Fourth Proportional to 20,397.74, 30,596.87 and 7,918.47

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Solution

The fourth proportional to 20,397.74, 30,596.87 and 7,918.47 is: 11,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397.74 : 30,596.87 = 7,918.47 : x
  2. Step 2: Convert to fraction form
    20,397.74/30,596.87 = 7,918.47/x
  3. Step 3: Cross multiply
    20,397.74x = 30,596.87 × 7,918.47
  4. Step 4: Simplify right side
    20,397.74x = 242,280,416.99
  5. Step 5: Solve for x
    x = 242,280,416.99/20,397.74
  6. Step 6: Final answer
    x = 11,877.81

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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.