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Finding the Fourth Proportional to 4,992.66, 6,883.47 and 4,093.14

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Solution

The fourth proportional to 4,992.66, 6,883.47 and 4,093.14 is: 5,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.66 : 6,883.47 = 4,093.14 : x
  2. Step 2: Convert to fraction form
    4,992.66/6,883.47 = 4,093.14/x
  3. Step 3: Cross multiply
    4,992.66x = 6,883.47 × 4,093.14
  4. Step 4: Simplify right side
    4,992.66x = 28,175,021.75
  5. Step 5: Solve for x
    x = 28,175,021.75/4,992.66
  6. Step 6: Final answer
    x = 5,643.29

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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.