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Finding the Fourth Proportional to 21,965.61, 32,950.23 and 7,174.20

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Solution

The fourth proportional to 21,965.61, 32,950.23 and 7,174.20 is: 10,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.61 : 32,950.23 = 7,174.20 : x
  2. Step 2: Convert to fraction form
    21,965.61/32,950.23 = 7,174.20/x
  3. Step 3: Cross multiply
    21,965.61x = 32,950.23 × 7,174.20
  4. Step 4: Simplify right side
    21,965.61x = 236,391,540.07
  5. Step 5: Solve for x
    x = 236,391,540.07/21,965.61
  6. Step 6: Final answer
    x = 10,761.89

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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.