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Finding the Fourth Proportional to 4,562.13, 6,844.10 and 1,442.62

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Solution

The fourth proportional to 4,562.13, 6,844.10 and 1,442.62 is: 2,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.13 : 6,844.10 = 1,442.62 : x
  2. Step 2: Convert to fraction form
    4,562.13/6,844.10 = 1,442.62/x
  3. Step 3: Cross multiply
    4,562.13x = 6,844.10 × 1,442.62
  4. Step 4: Simplify right side
    4,562.13x = 9,873,435.54
  5. Step 5: Solve for x
    x = 9,873,435.54/4,562.13
  6. Step 6: Final answer
    x = 2,164.22

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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.