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Finding the Fourth Proportional to 6,576, 9,864 and 1,712

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Solution

The fourth proportional to 6,576, 9,864 and 1,712 is: 2,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 9,864 = 1,712 : x
  2. Step 2: Convert to fraction form
    6,576/9,864 = 1,712/x
  3. Step 3: Cross multiply
    6,576x = 9,864 × 1,712
  4. Step 4: Simplify right side
    6,576x = 16,887,168
  5. Step 5: Solve for x
    x = 16,887,168/6,576
  6. Step 6: Final answer
    x = 2,568

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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.