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Finding the Fourth Proportional to 7,374, 10,173.96 and 4,388.34

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Solution

The fourth proportional to 7,374, 10,173.96 and 4,388.34 is: 6,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374 : 10,173.96 = 4,388.34 : x
  2. Step 2: Convert to fraction form
    7,374/10,173.96 = 4,388.34/x
  3. Step 3: Cross multiply
    7,374x = 10,173.96 × 4,388.34
  4. Step 4: Simplify right side
    7,374x = 44,646,795.63
  5. Step 5: Solve for x
    x = 44,646,795.63/7,374
  6. Step 6: Final answer
    x = 6,054.62

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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.