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Finding the Fourth Proportional to 7,126.67, 9,782.22 and 6,312.22

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Solution

The fourth proportional to 7,126.67, 9,782.22 and 6,312.22 is: 8,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.67 : 9,782.22 = 6,312.22 : x
  2. Step 2: Convert to fraction form
    7,126.67/9,782.22 = 6,312.22/x
  3. Step 3: Cross multiply
    7,126.67x = 9,782.22 × 6,312.22
  4. Step 4: Simplify right side
    7,126.67x = 61,747,524.73
  5. Step 5: Solve for x
    x = 61,747,524.73/7,126.67
  6. Step 6: Final answer
    x = 8,664.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.