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Finding the Fourth Proportional to 6,622.84, 9,134.20 and 5,824.45

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Solution

The fourth proportional to 6,622.84, 9,134.20 and 5,824.45 is: 8,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.84 : 9,134.20 = 5,824.45 : x
  2. Step 2: Convert to fraction form
    6,622.84/9,134.20 = 5,824.45/x
  3. Step 3: Cross multiply
    6,622.84x = 9,134.20 × 5,824.45
  4. Step 4: Simplify right side
    6,622.84x = 53,201,691.19
  5. Step 5: Solve for x
    x = 53,201,691.19/6,622.84
  6. Step 6: Final answer
    x = 8,033.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.