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Finding the Fourth Proportional to 15,773.67, 21,770.18 and 9,486.05

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Solution

The fourth proportional to 15,773.67, 21,770.18 and 9,486.05 is: 13,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.67 : 21,770.18 = 9,486.05 : x
  2. Step 2: Convert to fraction form
    15,773.67/21,770.18 = 9,486.05/x
  3. Step 3: Cross multiply
    15,773.67x = 21,770.18 × 9,486.05
  4. Step 4: Simplify right side
    15,773.67x = 206,512,859.71
  5. Step 5: Solve for x
    x = 206,512,859.71/15,773.67
  6. Step 6: Final answer
    x = 13,092.25

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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.