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Finding the Fourth Proportional to 7,595.32, 11,396.19 and 6,982.30

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Solution

The fourth proportional to 7,595.32, 11,396.19 and 6,982.30 is: 10,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.32 : 11,396.19 = 6,982.30 : x
  2. Step 2: Convert to fraction form
    7,595.32/11,396.19 = 6,982.30/x
  3. Step 3: Cross multiply
    7,595.32x = 11,396.19 × 6,982.30
  4. Step 4: Simplify right side
    7,595.32x = 79,571,657.87
  5. Step 5: Solve for x
    x = 79,571,657.87/7,595.32
  6. Step 6: Final answer
    x = 10,476.41

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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.