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Finding the Fourth Proportional to 11,797.12, 17,699.70 and 7,409.44

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Solution

The fourth proportional to 11,797.12, 17,699.70 and 7,409.44 is: 11,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.12 : 17,699.70 = 7,409.44 : x
  2. Step 2: Convert to fraction form
    11,797.12/17,699.70 = 7,409.44/x
  3. Step 3: Cross multiply
    11,797.12x = 17,699.70 × 7,409.44
  4. Step 4: Simplify right side
    11,797.12x = 131,144,865.17
  5. Step 5: Solve for x
    x = 131,144,865.17/11,797.12
  6. Step 6: Final answer
    x = 11,116.68

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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.