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Finding the Fourth Proportional to 19,766.23, 29,661.05 and 7,294.94

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Solution

The fourth proportional to 19,766.23, 29,661.05 and 7,294.94 is: 10,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.23 : 29,661.05 = 7,294.94 : x
  2. Step 2: Convert to fraction form
    19,766.23/29,661.05 = 7,294.94/x
  3. Step 3: Cross multiply
    19,766.23x = 29,661.05 × 7,294.94
  4. Step 4: Simplify right side
    19,766.23x = 216,375,687.06
  5. Step 5: Solve for x
    x = 216,375,687.06/19,766.23
  6. Step 6: Final answer
    x = 10,946.73

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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.