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Finding the Fourth Proportional to 11,680.70, 17,544.63 and 7,009.56

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Solution

The fourth proportional to 11,680.70, 17,544.63 and 7,009.56 is: 10,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.70 : 17,544.63 = 7,009.56 : x
  2. Step 2: Convert to fraction form
    11,680.70/17,544.63 = 7,009.56/x
  3. Step 3: Cross multiply
    11,680.70x = 17,544.63 × 7,009.56
  4. Step 4: Simplify right side
    11,680.70x = 122,980,136.66
  5. Step 5: Solve for x
    x = 122,980,136.66/11,680.70
  6. Step 6: Final answer
    x = 10,528.49

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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.