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Finding the Fourth Proportional to 7,726.80, 11,593.80 and 5,782.80

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Solution

The fourth proportional to 7,726.80, 11,593.80 and 5,782.80 is: 8,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.80 : 11,593.80 = 5,782.80 : x
  2. Step 2: Convert to fraction form
    7,726.80/11,593.80 = 5,782.80/x
  3. Step 3: Cross multiply
    7,726.80x = 11,593.80 × 5,782.80
  4. Step 4: Simplify right side
    7,726.80x = 67,044,626.64
  5. Step 5: Solve for x
    x = 67,044,626.64/7,726.80
  6. Step 6: Final answer
    x = 8,676.89

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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.