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Finding the Fourth Proportional to 14,537.78, 21,793.70 and 5,766.69

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Solution

The fourth proportional to 14,537.78, 21,793.70 and 5,766.69 is: 8,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.78 : 21,793.70 = 5,766.69 : x
  2. Step 2: Convert to fraction form
    14,537.78/21,793.70 = 5,766.69/x
  3. Step 3: Cross multiply
    14,537.78x = 21,793.70 × 5,766.69
  4. Step 4: Simplify right side
    14,537.78x = 125,677,526.27
  5. Step 5: Solve for x
    x = 125,677,526.27/14,537.78
  6. Step 6: Final answer
    x = 8,644.89

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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.