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Finding the Fourth Proportional to 4,562.33, 6,831.14 and 2,366.44

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Solution

The fourth proportional to 4,562.33, 6,831.14 and 2,366.44 is: 3,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.33 : 6,831.14 = 2,366.44 : x
  2. Step 2: Convert to fraction form
    4,562.33/6,831.14 = 2,366.44/x
  3. Step 3: Cross multiply
    4,562.33x = 6,831.14 × 2,366.44
  4. Step 4: Simplify right side
    4,562.33x = 16,165,473.24
  5. Step 5: Solve for x
    x = 16,165,473.24/4,562.33
  6. Step 6: Final answer
    x = 3,543.25

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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.