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Finding the Fourth Proportional to 9,606, 14,409 and 2,310

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Solution

The fourth proportional to 9,606, 14,409 and 2,310 is: 3,465

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606 : 14,409 = 2,310 : x
  2. Step 2: Convert to fraction form
    9,606/14,409 = 2,310/x
  3. Step 3: Cross multiply
    9,606x = 14,409 × 2,310
  4. Step 4: Simplify right side
    9,606x = 33,284,790
  5. Step 5: Solve for x
    x = 33,284,790/9,606
  6. Step 6: Final answer
    x = 3,465

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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.