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Finding the Fourth Proportional to 6,129.84, 9,193.14 and 1,747.55

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Solution

The fourth proportional to 6,129.84, 9,193.14 and 1,747.55 is: 2,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.84 : 9,193.14 = 1,747.55 : x
  2. Step 2: Convert to fraction form
    6,129.84/9,193.14 = 1,747.55/x
  3. Step 3: Cross multiply
    6,129.84x = 9,193.14 × 1,747.55
  4. Step 4: Simplify right side
    6,129.84x = 16,065,425.84
  5. Step 5: Solve for x
    x = 16,065,425.84/6,129.84
  6. Step 6: Final answer
    x = 2,620.86

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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.