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Finding the Fourth Proportional to 9,329.67, 13,926.25 and 8,222.54

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Solution

The fourth proportional to 9,329.67, 13,926.25 and 8,222.54 is: 12,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.67 : 13,926.25 = 8,222.54 : x
  2. Step 2: Convert to fraction form
    9,329.67/13,926.25 = 8,222.54/x
  3. Step 3: Cross multiply
    9,329.67x = 13,926.25 × 8,222.54
  4. Step 4: Simplify right side
    9,329.67x = 114,509,057.49
  5. Step 5: Solve for x
    x = 114,509,057.49/9,329.67
  6. Step 6: Final answer
    x = 12,273.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.