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Finding the Fourth Proportional to 6,483, 9,716.28 and 4,142.10

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Solution

The fourth proportional to 6,483, 9,716.28 and 4,142.10 is: 6,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 9,716.28 = 4,142.10 : x
  2. Step 2: Convert to fraction form
    6,483/9,716.28 = 4,142.10/x
  3. Step 3: Cross multiply
    6,483x = 9,716.28 × 4,142.10
  4. Step 4: Simplify right side
    6,483x = 40,245,803.39
  5. Step 5: Solve for x
    x = 40,245,803.39/6,483
  6. Step 6: Final answer
    x = 6,207.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.