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Finding the Fourth Proportional to 6,998.37, 9,658.67 and 4,013.63

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Solution

The fourth proportional to 6,998.37, 9,658.67 and 4,013.63 is: 5,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.37 : 9,658.67 = 4,013.63 : x
  2. Step 2: Convert to fraction form
    6,998.37/9,658.67 = 4,013.63/x
  3. Step 3: Cross multiply
    6,998.37x = 9,658.67 × 4,013.63
  4. Step 4: Simplify right side
    6,998.37x = 38,766,327.67
  5. Step 5: Solve for x
    x = 38,766,327.67/6,998.37
  6. Step 6: Final answer
    x = 5,539.34

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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.