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Finding the Fourth Proportional to 11,707.68, 17,546.19 and 10,223.16

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Solution

The fourth proportional to 11,707.68, 17,546.19 and 10,223.16 is: 15,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.68 : 17,546.19 = 10,223.16 : x
  2. Step 2: Convert to fraction form
    11,707.68/17,546.19 = 10,223.16/x
  3. Step 3: Cross multiply
    11,707.68x = 17,546.19 × 10,223.16
  4. Step 4: Simplify right side
    11,707.68x = 179,377,507.76
  5. Step 5: Solve for x
    x = 179,377,507.76/11,707.68
  6. Step 6: Final answer
    x = 15,321.35

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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.