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Finding the Fourth Proportional to 9,792.84, 14,688.11 and 3,217.41

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Solution

The fourth proportional to 9,792.84, 14,688.11 and 3,217.41 is: 4,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.84 : 14,688.11 = 3,217.41 : x
  2. Step 2: Convert to fraction form
    9,792.84/14,688.11 = 3,217.41/x
  3. Step 3: Cross multiply
    9,792.84x = 14,688.11 × 3,217.41
  4. Step 4: Simplify right side
    9,792.84x = 47,257,680.04
  5. Step 5: Solve for x
    x = 47,257,680.04/9,792.84
  6. Step 6: Final answer
    x = 4,825.74

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1.5x scale

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.