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Finding the Fourth Proportional to 6,582, 9,874.62 and 1,965

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Solution

The fourth proportional to 6,582, 9,874.62 and 1,965 is: 2,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582 : 9,874.62 = 1,965 : x
  2. Step 2: Convert to fraction form
    6,582/9,874.62 = 1,965/x
  3. Step 3: Cross multiply
    6,582x = 9,874.62 × 1,965
  4. Step 4: Simplify right side
    6,582x = 19,403,628.30
  5. Step 5: Solve for x
    x = 19,403,628.30/6,582
  6. Step 6: Final answer
    x = 2,947.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.