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Finding the Fourth Proportional to 11,214.80, 16,822.20 and 9,465.20

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Solution

The fourth proportional to 11,214.80, 16,822.20 and 9,465.20 is: 14,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.80 : 16,822.20 = 9,465.20 : x
  2. Step 2: Convert to fraction form
    11,214.80/16,822.20 = 9,465.20/x
  3. Step 3: Cross multiply
    11,214.80x = 16,822.20 × 9,465.20
  4. Step 4: Simplify right side
    11,214.80x = 159,225,487.44
  5. Step 5: Solve for x
    x = 159,225,487.44/11,214.80
  6. Step 6: Final answer
    x = 14,197.80

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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.