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Finding the Fourth Proportional to 11,486.73, 15,849.78 and 6,770.37

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Solution

The fourth proportional to 11,486.73, 15,849.78 and 6,770.37 is: 9,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.73 : 15,849.78 = 6,770.37 : x
  2. Step 2: Convert to fraction form
    11,486.73/15,849.78 = 6,770.37/x
  3. Step 3: Cross multiply
    11,486.73x = 15,849.78 × 6,770.37
  4. Step 4: Simplify right side
    11,486.73x = 107,308,875.02
  5. Step 5: Solve for x
    x = 107,308,875.02/11,486.73
  6. Step 6: Final answer
    x = 9,341.99

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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.