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Finding the Fourth Proportional to 9,712, 14,568 and 2,416

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Solution

The fourth proportional to 9,712, 14,568 and 2,416 is: 3,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,568 = 2,416 : x
  2. Step 2: Convert to fraction form
    9,712/14,568 = 2,416/x
  3. Step 3: Cross multiply
    9,712x = 14,568 × 2,416
  4. Step 4: Simplify right side
    9,712x = 35,196,288
  5. Step 5: Solve for x
    x = 35,196,288/9,712
  6. Step 6: Final answer
    x = 3,624

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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.