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Finding the Fourth Proportional to 4,546.33, 6,821.21 and 1,774.95

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Solution

The fourth proportional to 4,546.33, 6,821.21 and 1,774.95 is: 2,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.33 : 6,821.21 = 1,774.95 : x
  2. Step 2: Convert to fraction form
    4,546.33/6,821.21 = 1,774.95/x
  3. Step 3: Cross multiply
    4,546.33x = 6,821.21 × 1,774.95
  4. Step 4: Simplify right side
    4,546.33x = 12,107,285.55
  5. Step 5: Solve for x
    x = 12,107,285.55/4,546.33
  6. Step 6: Final answer
    x = 2,663.09

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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.