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Finding the Fourth Proportional to 7,424, 10,244.94 and 4,066.96

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Solution

The fourth proportional to 7,424, 10,244.94 and 4,066.96 is: 5,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424 : 10,244.94 = 4,066.96 : x
  2. Step 2: Convert to fraction form
    7,424/10,244.94 = 4,066.96/x
  3. Step 3: Cross multiply
    7,424x = 10,244.94 × 4,066.96
  4. Step 4: Simplify right side
    7,424x = 41,665,761.18
  5. Step 5: Solve for x
    x = 41,665,761.18/7,424
  6. Step 6: Final answer
    x = 5,612.31

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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.