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Finding the Fourth Proportional to 3,099, 4,644.78 and 1,713.06

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Solution

The fourth proportional to 3,099, 4,644.78 and 1,713.06 is: 2,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099 : 4,644.78 = 1,713.06 : x
  2. Step 2: Convert to fraction form
    3,099/4,644.78 = 1,713.06/x
  3. Step 3: Cross multiply
    3,099x = 4,644.78 × 1,713.06
  4. Step 4: Simplify right side
    3,099x = 7,956,786.83
  5. Step 5: Solve for x
    x = 7,956,786.83/3,099
  6. Step 6: Final answer
    x = 2,567.53

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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.