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Finding the Fourth Proportional to 16,566.63, 22,861.94 and 9,114.63

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Solution

The fourth proportional to 16,566.63, 22,861.94 and 9,114.63 is: 12,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.63 : 22,861.94 = 9,114.63 : x
  2. Step 2: Convert to fraction form
    16,566.63/22,861.94 = 9,114.63/x
  3. Step 3: Cross multiply
    16,566.63x = 22,861.94 × 9,114.63
  4. Step 4: Simplify right side
    16,566.63x = 208,378,124.18
  5. Step 5: Solve for x
    x = 208,378,124.18/16,566.63
  6. Step 6: Final answer
    x = 12,578.18

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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.