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Finding the Fourth Proportional to 8,270.05, 12,404.99 and 2,030

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Solution

The fourth proportional to 8,270.05, 12,404.99 and 2,030 is: 3,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.05 : 12,404.99 = 2,030 : x
  2. Step 2: Convert to fraction form
    8,270.05/12,404.99 = 2,030/x
  3. Step 3: Cross multiply
    8,270.05x = 12,404.99 × 2,030
  4. Step 4: Simplify right side
    8,270.05x = 25,182,129.70
  5. Step 5: Solve for x
    x = 25,182,129.70/8,270.05
  6. Step 6: Final answer
    x = 3,044.98

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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.