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Finding the Fourth Proportional to 9,872, 14,808 and 2,576

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Solution

The fourth proportional to 9,872, 14,808 and 2,576 is: 3,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872 : 14,808 = 2,576 : x
  2. Step 2: Convert to fraction form
    9,872/14,808 = 2,576/x
  3. Step 3: Cross multiply
    9,872x = 14,808 × 2,576
  4. Step 4: Simplify right side
    9,872x = 38,145,408
  5. Step 5: Solve for x
    x = 38,145,408/9,872
  6. Step 6: Final answer
    x = 3,864

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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.