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Finding the Fourth Proportional to 9,896, 14,844 and 2,600

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Solution

The fourth proportional to 9,896, 14,844 and 2,600 is: 3,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896 : 14,844 = 2,600 : x
  2. Step 2: Convert to fraction form
    9,896/14,844 = 2,600/x
  3. Step 3: Cross multiply
    9,896x = 14,844 × 2,600
  4. Step 4: Simplify right side
    9,896x = 38,594,400
  5. Step 5: Solve for x
    x = 38,594,400/9,896
  6. Step 6: Final answer
    x = 3,900

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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.