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Finding the Fourth Proportional to 6,132.88, 8,463.04 and 3,774.16

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Solution

The fourth proportional to 6,132.88, 8,463.04 and 3,774.16 is: 5,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.88 : 8,463.04 = 3,774.16 : x
  2. Step 2: Convert to fraction form
    6,132.88/8,463.04 = 3,774.16/x
  3. Step 3: Cross multiply
    6,132.88x = 8,463.04 × 3,774.16
  4. Step 4: Simplify right side
    6,132.88x = 31,940,867.05
  5. Step 5: Solve for x
    x = 31,940,867.05/6,132.88
  6. Step 6: Final answer
    x = 5,208.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.