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Finding the Fourth Proportional to 16,542.30, 24,777.81 and 7,764.06

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Solution

The fourth proportional to 16,542.30, 24,777.81 and 7,764.06 is: 11,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.30 : 24,777.81 = 7,764.06 : x
  2. Step 2: Convert to fraction form
    16,542.30/24,777.81 = 7,764.06/x
  3. Step 3: Cross multiply
    16,542.30x = 24,777.81 × 7,764.06
  4. Step 4: Simplify right side
    16,542.30x = 192,376,403.51
  5. Step 5: Solve for x
    x = 192,376,403.51/16,542.30
  6. Step 6: Final answer
    x = 11,629.36

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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.