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Finding the Fourth Proportional to 4,014.62, 6,024.31 and 1,823.32

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Solution

The fourth proportional to 4,014.62, 6,024.31 and 1,823.32 is: 2,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.62 : 6,024.31 = 1,823.32 : x
  2. Step 2: Convert to fraction form
    4,014.62/6,024.31 = 1,823.32/x
  3. Step 3: Cross multiply
    4,014.62x = 6,024.31 × 1,823.32
  4. Step 4: Simplify right side
    4,014.62x = 10,984,244.91
  5. Step 5: Solve for x
    x = 10,984,244.91/4,014.62
  6. Step 6: Final answer
    x = 2,736.06

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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.