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Finding the Fourth Proportional to 6,913.24, 10,374.16 and 2,809.24

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Solution

The fourth proportional to 6,913.24, 10,374.16 and 2,809.24 is: 4,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.24 : 10,374.16 = 2,809.24 : x
  2. Step 2: Convert to fraction form
    6,913.24/10,374.16 = 2,809.24/x
  3. Step 3: Cross multiply
    6,913.24x = 10,374.16 × 2,809.24
  4. Step 4: Simplify right side
    6,913.24x = 29,143,505.24
  5. Step 5: Solve for x
    x = 29,143,505.24/6,913.24
  6. Step 6: Final answer
    x = 4,215.61

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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.