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Finding the Fourth Proportional to 9,708, 14,562 and 2,412

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Solution

The fourth proportional to 9,708, 14,562 and 2,412 is: 3,618

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708 : 14,562 = 2,412 : x
  2. Step 2: Convert to fraction form
    9,708/14,562 = 2,412/x
  3. Step 3: Cross multiply
    9,708x = 14,562 × 2,412
  4. Step 4: Simplify right side
    9,708x = 35,123,544
  5. Step 5: Solve for x
    x = 35,123,544/9,708
  6. Step 6: Final answer
    x = 3,618

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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.