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Finding the Fourth Proportional to 8,219.67, 11,343.10 and 4,682.90

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Solution

The fourth proportional to 8,219.67, 11,343.10 and 4,682.90 is: 6,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.67 : 11,343.10 = 4,682.90 : x
  2. Step 2: Convert to fraction form
    8,219.67/11,343.10 = 4,682.90/x
  3. Step 3: Cross multiply
    8,219.67x = 11,343.10 × 4,682.90
  4. Step 4: Simplify right side
    8,219.67x = 53,118,602.99
  5. Step 5: Solve for x
    x = 53,118,602.99/8,219.67
  6. Step 6: Final answer
    x = 6,462.38

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Half scale
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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.