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Finding the Fourth Proportional to 9,654, 14,481 and 2,358

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Solution

The fourth proportional to 9,654, 14,481 and 2,358 is: 3,537

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654 : 14,481 = 2,358 : x
  2. Step 2: Convert to fraction form
    9,654/14,481 = 2,358/x
  3. Step 3: Cross multiply
    9,654x = 14,481 × 2,358
  4. Step 4: Simplify right side
    9,654x = 34,146,198
  5. Step 5: Solve for x
    x = 34,146,198/9,654
  6. Step 6: Final answer
    x = 3,537

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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.