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Finding the Fourth Proportional to 6,581.52, 9,814.23 and 6,522.26

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Solution

The fourth proportional to 6,581.52, 9,814.23 and 6,522.26 is: 9,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.52 : 9,814.23 = 6,522.26 : x
  2. Step 2: Convert to fraction form
    6,581.52/9,814.23 = 6,522.26/x
  3. Step 3: Cross multiply
    6,581.52x = 9,814.23 × 6,522.26
  4. Step 4: Simplify right side
    6,581.52x = 64,010,910.69
  5. Step 5: Solve for x
    x = 64,010,910.69/6,581.52
  6. Step 6: Final answer
    x = 9,725.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.