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Finding the Fourth Proportional to 9,856, 14,784 and 2,560

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Solution

The fourth proportional to 9,856, 14,784 and 2,560 is: 3,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 14,784 = 2,560 : x
  2. Step 2: Convert to fraction form
    9,856/14,784 = 2,560/x
  3. Step 3: Cross multiply
    9,856x = 14,784 × 2,560
  4. Step 4: Simplify right side
    9,856x = 37,847,040
  5. Step 5: Solve for x
    x = 37,847,040/9,856
  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.