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Finding the Fourth Proportional to 20,081.58, 30,127.14 and 6,934.06

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Solution

The fourth proportional to 20,081.58, 30,127.14 and 6,934.06 is: 10,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081.58 : 30,127.14 = 6,934.06 : x
  2. Step 2: Convert to fraction form
    20,081.58/30,127.14 = 6,934.06/x
  3. Step 3: Cross multiply
    20,081.58x = 30,127.14 × 6,934.06
  4. Step 4: Simplify right side
    20,081.58x = 208,903,396.39
  5. Step 5: Solve for x
    x = 208,903,396.39/20,081.58
  6. Step 6: Final answer
    x = 10,402.74

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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.