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Finding the Fourth Proportional to 9,706, 14,559 and 2,410

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Solution

The fourth proportional to 9,706, 14,559 and 2,410 is: 3,615

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 14,559 = 2,410 : x
  2. Step 2: Convert to fraction form
    9,706/14,559 = 2,410/x
  3. Step 3: Cross multiply
    9,706x = 14,559 × 2,410
  4. Step 4: Simplify right side
    9,706x = 35,087,190
  5. Step 5: Solve for x
    x = 35,087,190/9,706
  6. Step 6: Final answer
    x = 3,615

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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.