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Finding the Fourth Proportional to 6,940.35, 10,416 and 2,560.88

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Solution

The fourth proportional to 6,940.35, 10,416 and 2,560.88 is: 3,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.35 : 10,416 = 2,560.88 : x
  2. Step 2: Convert to fraction form
    6,940.35/10,416 = 2,560.88/x
  3. Step 3: Cross multiply
    6,940.35x = 10,416 × 2,560.88
  4. Step 4: Simplify right side
    6,940.35x = 26,674,152.12
  5. Step 5: Solve for x
    x = 26,674,152.12/6,940.35
  6. Step 6: Final answer
    x = 3,843.34

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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.