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Finding the Fourth Proportional to 17,198.89, 23,734.74 and 9,646.90

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Solution

The fourth proportional to 17,198.89, 23,734.74 and 9,646.90 is: 13,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.89 : 23,734.74 = 9,646.90 : x
  2. Step 2: Convert to fraction form
    17,198.89/23,734.74 = 9,646.90/x
  3. Step 3: Cross multiply
    17,198.89x = 23,734.74 × 9,646.90
  4. Step 4: Simplify right side
    17,198.89x = 228,966,663.31
  5. Step 5: Solve for x
    x = 228,966,663.31/17,198.89
  6. Step 6: Final answer
    x = 13,312.87

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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.