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Finding the Fourth Proportional to 22,277.60, 33,411.60 and 9,797.60

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Solution

The fourth proportional to 22,277.60, 33,411.60 and 9,797.60 is: 14,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.60 : 33,411.60 = 9,797.60 : x
  2. Step 2: Convert to fraction form
    22,277.60/33,411.60 = 9,797.60/x
  3. Step 3: Cross multiply
    22,277.60x = 33,411.60 × 9,797.60
  4. Step 4: Simplify right side
    22,277.60x = 327,353,492.16
  5. Step 5: Solve for x
    x = 327,353,492.16/22,277.60
  6. Step 6: Final answer
    x = 14,694.29

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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.