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Finding the Fourth Proportional to 14,822.53, 22,233.80 and 7,027.09

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Solution

The fourth proportional to 14,822.53, 22,233.80 and 7,027.09 is: 10,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.53 : 22,233.80 = 7,027.09 : x
  2. Step 2: Convert to fraction form
    14,822.53/22,233.80 = 7,027.09/x
  3. Step 3: Cross multiply
    14,822.53x = 22,233.80 × 7,027.09
  4. Step 4: Simplify right side
    14,822.53x = 156,238,878.51
  5. Step 5: Solve for x
    x = 156,238,878.51/14,822.53
  6. Step 6: Final answer
    x = 10,540.64

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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.