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Finding the Fourth Proportional to 4,519.44, 6,784.02 and 4,002.66

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Solution

The fourth proportional to 4,519.44, 6,784.02 and 4,002.66 is: 6,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.44 : 6,784.02 = 4,002.66 : x
  2. Step 2: Convert to fraction form
    4,519.44/6,784.02 = 4,002.66/x
  3. Step 3: Cross multiply
    4,519.44x = 6,784.02 × 4,002.66
  4. Step 4: Simplify right side
    4,519.44x = 27,154,125.49
  5. Step 5: Solve for x
    x = 27,154,125.49/4,519.44
  6. Step 6: Final answer
    x = 6,008.29

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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.