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Finding the Fourth Proportional to 8,273.16, 11,414.66 and 4,736.16

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Solution

The fourth proportional to 8,273.16, 11,414.66 and 4,736.16 is: 6,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.16 : 11,414.66 = 4,736.16 : x
  2. Step 2: Convert to fraction form
    8,273.16/11,414.66 = 4,736.16/x
  3. Step 3: Cross multiply
    8,273.16x = 11,414.66 × 4,736.16
  4. Step 4: Simplify right side
    8,273.16x = 54,061,632.42
  5. Step 5: Solve for x
    x = 54,061,632.42/8,273.16
  6. Step 6: Final answer
    x = 6,534.58

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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.