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Finding the Fourth Proportional to 8,684.31, 11,984.22 and 4,705.38

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Solution

The fourth proportional to 8,684.31, 11,984.22 and 4,705.38 is: 6,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.31 : 11,984.22 = 4,705.38 : x
  2. Step 2: Convert to fraction form
    8,684.31/11,984.22 = 4,705.38/x
  3. Step 3: Cross multiply
    8,684.31x = 11,984.22 × 4,705.38
  4. Step 4: Simplify right side
    8,684.31x = 56,390,309.10
  5. Step 5: Solve for x
    x = 56,390,309.10/8,684.31
  6. Step 6: Final answer
    x = 6,493.36

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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.