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Finding the Fourth Proportional to 11,684.06, 17,530.95 and 7,013.06

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Solution

The fourth proportional to 11,684.06, 17,530.95 and 7,013.06 is: 10,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.06 : 17,530.95 = 7,013.06 : x
  2. Step 2: Convert to fraction form
    11,684.06/17,530.95 = 7,013.06/x
  3. Step 3: Cross multiply
    11,684.06x = 17,530.95 × 7,013.06
  4. Step 4: Simplify right side
    11,684.06x = 122,945,604.21
  5. Step 5: Solve for x
    x = 122,945,604.21/11,684.06
  6. Step 6: Final answer
    x = 10,522.51

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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.