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Finding the Fourth Proportional to 7,317, 10,097.46 and 4,005

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Solution

The fourth proportional to 7,317, 10,097.46 and 4,005 is: 5,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317 : 10,097.46 = 4,005 : x
  2. Step 2: Convert to fraction form
    7,317/10,097.46 = 4,005/x
  3. Step 3: Cross multiply
    7,317x = 10,097.46 × 4,005
  4. Step 4: Simplify right side
    7,317x = 40,440,327.30
  5. Step 5: Solve for x
    x = 40,440,327.30/7,317
  6. Step 6: Final answer
    x = 5,526.90

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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.