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Finding the Fourth Proportional to 6,876.99, 10,315.52 and 1,682.87

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Solution

The fourth proportional to 6,876.99, 10,315.52 and 1,682.87 is: 2,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.99 : 10,315.52 = 1,682.87 : x
  2. Step 2: Convert to fraction form
    6,876.99/10,315.52 = 1,682.87/x
  3. Step 3: Cross multiply
    6,876.99x = 10,315.52 × 1,682.87
  4. Step 4: Simplify right side
    6,876.99x = 17,359,619.15
  5. Step 5: Solve for x
    x = 17,359,619.15/6,876.99
  6. Step 6: Final answer
    x = 2,524.30

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1.5x scale

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.