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Finding the Fourth Proportional to 7,973.97, 12,014.16 and 7,224.42

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Solution

The fourth proportional to 7,973.97, 12,014.16 and 7,224.42 is: 10,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.97 : 12,014.16 = 7,224.42 : x
  2. Step 2: Convert to fraction form
    7,973.97/12,014.16 = 7,224.42/x
  3. Step 3: Cross multiply
    7,973.97x = 12,014.16 × 7,224.42
  4. Step 4: Simplify right side
    7,973.97x = 86,795,337.79
  5. Step 5: Solve for x
    x = 86,795,337.79/7,973.97
  6. Step 6: Final answer
    x = 10,884.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.