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Finding the Fourth Proportional to 6,948, 10,426.02 and 2,568.48

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Solution

The fourth proportional to 6,948, 10,426.02 and 2,568.48 is: 3,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948 : 10,426.02 = 2,568.48 : x
  2. Step 2: Convert to fraction form
    6,948/10,426.02 = 2,568.48/x
  3. Step 3: Cross multiply
    6,948x = 10,426.02 × 2,568.48
  4. Step 4: Simplify right side
    6,948x = 26,779,023.85
  5. Step 5: Solve for x
    x = 26,779,023.85/6,948
  6. Step 6: Final answer
    x = 3,854.21

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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.