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Finding the Fourth Proportional to 9,196.71, 13,770.45 and 8,021.19

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Solution

The fourth proportional to 9,196.71, 13,770.45 and 8,021.19 is: 12,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.71 : 13,770.45 = 8,021.19 : x
  2. Step 2: Convert to fraction form
    9,196.71/13,770.45 = 8,021.19/x
  3. Step 3: Cross multiply
    9,196.71x = 13,770.45 × 8,021.19
  4. Step 4: Simplify right side
    9,196.71x = 110,455,395.84
  5. Step 5: Solve for x
    x = 110,455,395.84/9,196.71
  6. Step 6: Final answer
    x = 12,010.32

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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.