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Finding the Fourth Proportional to 5,143.56, 7,713.74 and 1,445.56

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Solution

The fourth proportional to 5,143.56, 7,713.74 and 1,445.56 is: 2,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.56 : 7,713.74 = 1,445.56 : x
  2. Step 2: Convert to fraction form
    5,143.56/7,713.74 = 1,445.56/x
  3. Step 3: Cross multiply
    5,143.56x = 7,713.74 × 1,445.56
  4. Step 4: Simplify right side
    5,143.56x = 11,150,673.99
  5. Step 5: Solve for x
    x = 11,150,673.99/5,143.56
  6. Step 6: Final answer
    x = 2,167.89

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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.