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Finding the Fourth Proportional to 11,837.76, 17,767.08 and 6,900.60

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Solution

The fourth proportional to 11,837.76, 17,767.08 and 6,900.60 is: 10,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.76 : 17,767.08 = 6,900.60 : x
  2. Step 2: Convert to fraction form
    11,837.76/17,767.08 = 6,900.60/x
  3. Step 3: Cross multiply
    11,837.76x = 17,767.08 × 6,900.60
  4. Step 4: Simplify right side
    11,837.76x = 122,603,512.25
  5. Step 5: Solve for x
    x = 122,603,512.25/11,837.76
  6. Step 6: Final answer
    x = 10,356.99

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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.