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Finding the Fourth Proportional to 5,949.77, 8,924.67 and 2,000.30

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Solution

The fourth proportional to 5,949.77, 8,924.67 and 2,000.30 is: 3,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.77 : 8,924.67 = 2,000.30 : x
  2. Step 2: Convert to fraction form
    5,949.77/8,924.67 = 2,000.30/x
  3. Step 3: Cross multiply
    5,949.77x = 8,924.67 × 2,000.30
  4. Step 4: Simplify right side
    5,949.77x = 17,851,972.78
  5. Step 5: Solve for x
    x = 17,851,972.78/5,949.77
  6. Step 6: Final answer
    x = 3,000.45

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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.