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Finding the Fourth Proportional to 17,827, 26,724.62 and 8,461.24

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Solution

The fourth proportional to 17,827, 26,724.62 and 8,461.24 is: 12,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827 : 26,724.62 = 8,461.24 : x
  2. Step 2: Convert to fraction form
    17,827/26,724.62 = 8,461.24/x
  3. Step 3: Cross multiply
    17,827x = 26,724.62 × 8,461.24
  4. Step 4: Simplify right side
    17,827x = 226,123,423.73
  5. Step 5: Solve for x
    x = 226,123,423.73/17,827
  6. Step 6: Final answer
    x = 12,684.32

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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.