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Finding the Fourth Proportional to 6,182.70, 9,274.95 and 2,021.67

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Solution

The fourth proportional to 6,182.70, 9,274.95 and 2,021.67 is: 3,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.70 : 9,274.95 = 2,021.67 : x
  2. Step 2: Convert to fraction form
    6,182.70/9,274.95 = 2,021.67/x
  3. Step 3: Cross multiply
    6,182.70x = 9,274.95 × 2,021.67
  4. Step 4: Simplify right side
    6,182.70x = 18,750,888.17
  5. Step 5: Solve for x
    x = 18,750,888.17/6,182.70
  6. Step 6: Final answer
    x = 3,032.80

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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.