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Finding the Fourth Proportional to 9,792.60, 14,689.86 and 3,216.12

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Solution

The fourth proportional to 9,792.60, 14,689.86 and 3,216.12 is: 4,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.60 : 14,689.86 = 3,216.12 : x
  2. Step 2: Convert to fraction form
    9,792.60/14,689.86 = 3,216.12/x
  3. Step 3: Cross multiply
    9,792.60x = 14,689.86 × 3,216.12
  4. Step 4: Simplify right side
    9,792.60x = 47,244,352.54
  5. Step 5: Solve for x
    x = 47,244,352.54/9,792.60
  6. Step 6: Final answer
    x = 4,824.50

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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.