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Finding the Fourth Proportional to 8,716, 13,074 and 2,560

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Solution

The fourth proportional to 8,716, 13,074 and 2,560 is: 3,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716 : 13,074 = 2,560 : x
  2. Step 2: Convert to fraction form
    8,716/13,074 = 2,560/x
  3. Step 3: Cross multiply
    8,716x = 13,074 × 2,560
  4. Step 4: Simplify right side
    8,716x = 33,469,440
  5. Step 5: Solve for x
    x = 33,469,440/8,716
  6. Step 6: Final answer
    x = 3,840

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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.