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Finding the Fourth Proportional to 6,592.32, 9,896.22 and 5,206.68

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Solution

The fourth proportional to 6,592.32, 9,896.22 and 5,206.68 is: 7,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.32 : 9,896.22 = 5,206.68 : x
  2. Step 2: Convert to fraction form
    6,592.32/9,896.22 = 5,206.68/x
  3. Step 3: Cross multiply
    6,592.32x = 9,896.22 × 5,206.68
  4. Step 4: Simplify right side
    6,592.32x = 51,526,450.75
  5. Step 5: Solve for x
    x = 51,526,450.75/6,592.32
  6. Step 6: Final answer
    x = 7,816.13

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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.