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Finding the Fourth Proportional to 8,493.31, 11,706.19 and 7,309.63

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Solution

The fourth proportional to 8,493.31, 11,706.19 and 7,309.63 is: 10,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.31 : 11,706.19 = 7,309.63 : x
  2. Step 2: Convert to fraction form
    8,493.31/11,706.19 = 7,309.63/x
  3. Step 3: Cross multiply
    8,493.31x = 11,706.19 × 7,309.63
  4. Step 4: Simplify right side
    8,493.31x = 85,567,917.61
  5. Step 5: Solve for x
    x = 85,567,917.61/8,493.31
  6. Step 6: Final answer
    x = 10,074.74

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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.