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Finding the Fourth Proportional to 6,473.16, 8,932.92 and 3,678.66

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Solution

The fourth proportional to 6,473.16, 8,932.92 and 3,678.66 is: 5,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.16 : 8,932.92 = 3,678.66 : x
  2. Step 2: Convert to fraction form
    6,473.16/8,932.92 = 3,678.66/x
  3. Step 3: Cross multiply
    6,473.16x = 8,932.92 × 3,678.66
  4. Step 4: Simplify right side
    6,473.16x = 32,861,175.49
  5. Step 5: Solve for x
    x = 32,861,175.49/6,473.16
  6. Step 6: Final answer
    x = 5,076.53

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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.