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Finding the Fourth Proportional to 6,876.64, 10,315.01 and 1,682.52

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Solution

The fourth proportional to 6,876.64, 10,315.01 and 1,682.52 is: 2,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.64 : 10,315.01 = 1,682.52 : x
  2. Step 2: Convert to fraction form
    6,876.64/10,315.01 = 1,682.52/x
  3. Step 3: Cross multiply
    6,876.64x = 10,315.01 × 1,682.52
  4. Step 4: Simplify right side
    6,876.64x = 17,355,210.63
  5. Step 5: Solve for x
    x = 17,355,210.63/6,876.64
  6. Step 6: Final answer
    x = 2,523.79

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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.