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Finding the Fourth Proportional to 5,193.53, 7,789.14 and 1,494.93

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Solution

The fourth proportional to 5,193.53, 7,789.14 and 1,494.93 is: 2,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.53 : 7,789.14 = 1,494.93 : x
  2. Step 2: Convert to fraction form
    5,193.53/7,789.14 = 1,494.93/x
  3. Step 3: Cross multiply
    5,193.53x = 7,789.14 × 1,494.93
  4. Step 4: Simplify right side
    5,193.53x = 11,644,219.06
  5. Step 5: Solve for x
    x = 11,644,219.06/5,193.53
  6. Step 6: Final answer
    x = 2,242.06

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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.