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Finding the Fourth Proportional to 16,537.24, 24,784.72 and 7,752.80

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Solution

The fourth proportional to 16,537.24, 24,784.72 and 7,752.80 is: 11,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.24 : 24,784.72 = 7,752.80 : x
  2. Step 2: Convert to fraction form
    16,537.24/24,784.72 = 7,752.80/x
  3. Step 3: Cross multiply
    16,537.24x = 24,784.72 × 7,752.80
  4. Step 4: Simplify right side
    16,537.24x = 192,150,977.22
  5. Step 5: Solve for x
    x = 192,150,977.22/16,537.24
  6. Step 6: Final answer
    x = 11,619.29

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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.