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Finding the Fourth Proportional to 16,558.24, 22,849.92 and 9,106.24

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Solution

The fourth proportional to 16,558.24, 22,849.92 and 9,106.24 is: 12,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,558.24 : 22,849.92 = 9,106.24 : x
  2. Step 2: Convert to fraction form
    16,558.24/22,849.92 = 9,106.24/x
  3. Step 3: Cross multiply
    16,558.24x = 22,849.92 × 9,106.24
  4. Step 4: Simplify right side
    16,558.24x = 208,076,855.50
  5. Step 5: Solve for x
    x = 208,076,855.50/16,558.24
  6. Step 6: Final answer
    x = 12,566.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.