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Finding the Fourth Proportional to 6,488, 9,732 and 2,384

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Solution

The fourth proportional to 6,488, 9,732 and 2,384 is: 3,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488 : 9,732 = 2,384 : x
  2. Step 2: Convert to fraction form
    6,488/9,732 = 2,384/x
  3. Step 3: Cross multiply
    6,488x = 9,732 × 2,384
  4. Step 4: Simplify right side
    6,488x = 23,201,088
  5. Step 5: Solve for x
    x = 23,201,088/6,488
  6. Step 6: Final answer
    x = 3,576

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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.