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Finding the Fourth Proportional to 20,582.78, 30,874.14 and 7,435.13

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Solution

The fourth proportional to 20,582.78, 30,874.14 and 7,435.13 is: 11,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.78 : 30,874.14 = 7,435.13 : x
  2. Step 2: Convert to fraction form
    20,582.78/30,874.14 = 7,435.13/x
  3. Step 3: Cross multiply
    20,582.78x = 30,874.14 × 7,435.13
  4. Step 4: Simplify right side
    20,582.78x = 229,553,090.17
  5. Step 5: Solve for x
    x = 229,553,090.17/20,582.78
  6. Step 6: Final answer
    x = 11,152.68

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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.