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Finding the Fourth Proportional to 6,833, 10,248.56 and 2,670.12

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Solution

The fourth proportional to 6,833, 10,248.56 and 2,670.12 is: 4,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833 : 10,248.56 = 2,670.12 : x
  2. Step 2: Convert to fraction form
    6,833/10,248.56 = 2,670.12/x
  3. Step 3: Cross multiply
    6,833x = 10,248.56 × 2,670.12
  4. Step 4: Simplify right side
    6,833x = 27,364,885.03
  5. Step 5: Solve for x
    x = 27,364,885.03/6,833
  6. Step 6: Final answer
    x = 4,004.81

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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.