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Finding the Fourth Proportional to 6,884.46, 10,325.52 and 1,953

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Solution

The fourth proportional to 6,884.46, 10,325.52 and 1,953 is: 2,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.46 : 10,325.52 = 1,953 : x
  2. Step 2: Convert to fraction form
    6,884.46/10,325.52 = 1,953/x
  3. Step 3: Cross multiply
    6,884.46x = 10,325.52 × 1,953
  4. Step 4: Simplify right side
    6,884.46x = 20,165,740.56
  5. Step 5: Solve for x
    x = 20,165,740.56/6,884.46
  6. Step 6: Final answer
    x = 2,929.17

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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.