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Finding the Fourth Proportional to 9,792, 14,688.24 and 2,496

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Solution

The fourth proportional to 9,792, 14,688.24 and 2,496 is: 3,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 14,688.24 = 2,496 : x
  2. Step 2: Convert to fraction form
    9,792/14,688.24 = 2,496/x
  3. Step 3: Cross multiply
    9,792x = 14,688.24 × 2,496
  4. Step 4: Simplify right side
    9,792x = 36,661,847.04
  5. Step 5: Solve for x
    x = 36,661,847.04/9,792
  6. Step 6: Final answer
    x = 3,744.06

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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.