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Finding the Fourth Proportional to 6,298.43, 9,447.23 and 1,915.92

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Solution

The fourth proportional to 6,298.43, 9,447.23 and 1,915.92 is: 2,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.43 : 9,447.23 = 1,915.92 : x
  2. Step 2: Convert to fraction form
    6,298.43/9,447.23 = 1,915.92/x
  3. Step 3: Cross multiply
    6,298.43x = 9,447.23 × 1,915.92
  4. Step 4: Simplify right side
    6,298.43x = 18,100,141.69
  5. Step 5: Solve for x
    x = 18,100,141.69/6,298.43
  6. Step 6: Final answer
    x = 2,873.76

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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.