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Finding the Fourth Proportional to 6,830.94, 10,246.54 and 2,670.78

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Solution

The fourth proportional to 6,830.94, 10,246.54 and 2,670.78 is: 4,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.94 : 10,246.54 = 2,670.78 : x
  2. Step 2: Convert to fraction form
    6,830.94/10,246.54 = 2,670.78/x
  3. Step 3: Cross multiply
    6,830.94x = 10,246.54 × 2,670.78
  4. Step 4: Simplify right side
    6,830.94x = 27,366,254.10
  5. Step 5: Solve for x
    x = 27,366,254.10/6,830.94
  6. Step 6: Final answer
    x = 4,006.22

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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.