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Finding the Fourth Proportional to 22,782.87, 34,175.94 and 6,985.85

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Solution

The fourth proportional to 22,782.87, 34,175.94 and 6,985.85 is: 10,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.87 : 34,175.94 = 6,985.85 : x
  2. Step 2: Convert to fraction form
    22,782.87/34,175.94 = 6,985.85/x
  3. Step 3: Cross multiply
    22,782.87x = 34,175.94 × 6,985.85
  4. Step 4: Simplify right side
    22,782.87x = 238,747,990.45
  5. Step 5: Solve for x
    x = 238,747,990.45/22,782.87
  6. Step 6: Final answer
    x = 10,479.28

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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.