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Finding the Fourth Proportional to 6,114, 8,442.18 and 4,794.51

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Solution

The fourth proportional to 6,114, 8,442.18 and 4,794.51 is: 6,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 8,442.18 = 4,794.51 : x
  2. Step 2: Convert to fraction form
    6,114/8,442.18 = 4,794.51/x
  3. Step 3: Cross multiply
    6,114x = 8,442.18 × 4,794.51
  4. Step 4: Simplify right side
    6,114x = 40,476,116.43
  5. Step 5: Solve for x
    x = 40,476,116.43/6,114
  6. Step 6: Final answer
    x = 6,620.23

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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.