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Finding the Fourth Proportional to 13,945, 20,919.45 and 4,084.99

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Solution

The fourth proportional to 13,945, 20,919.45 and 4,084.99 is: 6,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945 : 20,919.45 = 4,084.99 : x
  2. Step 2: Convert to fraction form
    13,945/20,919.45 = 4,084.99/x
  3. Step 3: Cross multiply
    13,945x = 20,919.45 × 4,084.99
  4. Step 4: Simplify right side
    13,945x = 85,455,744.06
  5. Step 5: Solve for x
    x = 85,455,744.06/13,945
  6. Step 6: Final answer
    x = 6,128.06

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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.