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Finding the Fourth Proportional to 6,536.67, 9,792.22 and 5,223.10

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Solution

The fourth proportional to 6,536.67, 9,792.22 and 5,223.10 is: 7,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.67 : 9,792.22 = 5,223.10 : x
  2. Step 2: Convert to fraction form
    6,536.67/9,792.22 = 5,223.10/x
  3. Step 3: Cross multiply
    6,536.67x = 9,792.22 × 5,223.10
  4. Step 4: Simplify right side
    6,536.67x = 51,145,744.28
  5. Step 5: Solve for x
    x = 51,145,744.28/6,536.67
  6. Step 6: Final answer
    x = 7,824.43

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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.