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Finding the Fourth Proportional to 11,597.68, 17,396.68 and 2,832.80

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Solution

The fourth proportional to 11,597.68, 17,396.68 and 2,832.80 is: 4,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.68 : 17,396.68 = 2,832.80 : x
  2. Step 2: Convert to fraction form
    11,597.68/17,396.68 = 2,832.80/x
  3. Step 3: Cross multiply
    11,597.68x = 17,396.68 × 2,832.80
  4. Step 4: Simplify right side
    11,597.68x = 49,281,315.10
  5. Step 5: Solve for x
    x = 49,281,315.10/11,597.68
  6. Step 6: Final answer
    x = 4,249.24

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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.