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Finding the Fourth Proportional to 12,159.96, 16,795.26 and 8,638.44

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Solution

The fourth proportional to 12,159.96, 16,795.26 and 8,638.44 is: 11,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.96 : 16,795.26 = 8,638.44 : x
  2. Step 2: Convert to fraction form
    12,159.96/16,795.26 = 8,638.44/x
  3. Step 3: Cross multiply
    12,159.96x = 16,795.26 × 8,638.44
  4. Step 4: Simplify right side
    12,159.96x = 145,084,845.79
  5. Step 5: Solve for x
    x = 145,084,845.79/12,159.96
  6. Step 6: Final answer
    x = 11,931.36

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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.