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Finding the Fourth Proportional to 5,173.00, 7,760.00 and 1,663.07

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Solution

The fourth proportional to 5,173.00, 7,760.00 and 1,663.07 is: 2,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.00 : 7,760.00 = 1,663.07 : x
  2. Step 2: Convert to fraction form
    5,173.00/7,760.00 = 1,663.07/x
  3. Step 3: Cross multiply
    5,173.00x = 7,760.00 × 1,663.07
  4. Step 4: Simplify right side
    5,173.00x = 12,905,388.56
  5. Step 5: Solve for x
    x = 12,905,388.56/5,173.00
  6. Step 6: Final answer
    x = 2,494.76

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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.