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Finding the Fourth Proportional to 6,182.70, 8,531.82 and 3,493.86

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Solution

The fourth proportional to 6,182.70, 8,531.82 and 3,493.86 is: 4,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.70 : 8,531.82 = 3,493.86 : x
  2. Step 2: Convert to fraction form
    6,182.70/8,531.82 = 3,493.86/x
  3. Step 3: Cross multiply
    6,182.70x = 8,531.82 × 3,493.86
  4. Step 4: Simplify right side
    6,182.70x = 29,808,984.63
  5. Step 5: Solve for x
    x = 29,808,984.63/6,182.70
  6. Step 6: Final answer
    x = 4,821.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.