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Finding the Fourth Proportional to 14,822.60, 22,250.10 and 9,282.20

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Solution

The fourth proportional to 14,822.60, 22,250.10 and 9,282.20 is: 13,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.60 : 22,250.10 = 9,282.20 : x
  2. Step 2: Convert to fraction form
    14,822.60/22,250.10 = 9,282.20/x
  3. Step 3: Cross multiply
    14,822.60x = 22,250.10 × 9,282.20
  4. Step 4: Simplify right side
    14,822.60x = 206,529,878.22
  5. Step 5: Solve for x
    x = 206,529,878.22/14,822.60
  6. Step 6: Final answer
    x = 13,933.44

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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.