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Finding the Fourth Proportional to 12,398.67, 18,594.36 and 6,850.98

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Solution

The fourth proportional to 12,398.67, 18,594.36 and 6,850.98 is: 10,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.67 : 18,594.36 = 6,850.98 : x
  2. Step 2: Convert to fraction form
    12,398.67/18,594.36 = 6,850.98/x
  3. Step 3: Cross multiply
    12,398.67x = 18,594.36 × 6,850.98
  4. Step 4: Simplify right side
    12,398.67x = 127,389,588.47
  5. Step 5: Solve for x
    x = 127,389,588.47/12,398.67
  6. Step 6: Final answer
    x = 10,274.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.