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Finding the Fourth Proportional to 6,947.64, 10,426.77 and 4,854

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Solution

The fourth proportional to 6,947.64, 10,426.77 and 4,854 is: 7,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.64 : 10,426.77 = 4,854 : x
  2. Step 2: Convert to fraction form
    6,947.64/10,426.77 = 4,854/x
  3. Step 3: Cross multiply
    6,947.64x = 10,426.77 × 4,854
  4. Step 4: Simplify right side
    6,947.64x = 50,611,541.58
  5. Step 5: Solve for x
    x = 50,611,541.58/6,947.64
  6. Step 6: Final answer
    x = 7,284.71

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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.