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Finding the Fourth Proportional to 6,197.67, 9,296.51 and 1,580.67

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Solution

The fourth proportional to 6,197.67, 9,296.51 and 1,580.67 is: 2,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.67 : 9,296.51 = 1,580.67 : x
  2. Step 2: Convert to fraction form
    6,197.67/9,296.51 = 1,580.67/x
  3. Step 3: Cross multiply
    6,197.67x = 9,296.51 × 1,580.67
  4. Step 4: Simplify right side
    6,197.67x = 14,694,706.56
  5. Step 5: Solve for x
    x = 14,694,706.56/6,197.67
  6. Step 6: Final answer
    x = 2,371.01

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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.