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Finding the Fourth Proportional to 11,766.30, 17,607.78 and 8,638.89

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Solution

The fourth proportional to 11,766.30, 17,607.78 and 8,638.89 is: 12,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.30 : 17,607.78 = 8,638.89 : x
  2. Step 2: Convert to fraction form
    11,766.30/17,607.78 = 8,638.89/x
  3. Step 3: Cross multiply
    11,766.30x = 17,607.78 × 8,638.89
  4. Step 4: Simplify right side
    11,766.30x = 152,111,674.56
  5. Step 5: Solve for x
    x = 152,111,674.56/11,766.30
  6. Step 6: Final answer
    x = 12,927.74

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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.