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Finding the Fourth Proportional to 20,582.76, 30,874.13 and 7,435.14

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Solution

The fourth proportional to 20,582.76, 30,874.13 and 7,435.14 is: 11,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.76 : 30,874.13 = 7,435.14 : x
  2. Step 2: Convert to fraction form
    20,582.76/30,874.13 = 7,435.14/x
  3. Step 3: Cross multiply
    20,582.76x = 30,874.13 × 7,435.14
  4. Step 4: Simplify right side
    20,582.76x = 229,553,441.75
  5. Step 5: Solve for x
    x = 229,553,441.75/20,582.76
  6. Step 6: Final answer
    x = 11,152.70

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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.