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Finding the Fourth Proportional to 9,141.84, 12,615.74 and 5,163.79

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Solution

The fourth proportional to 9,141.84, 12,615.74 and 5,163.79 is: 7,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.84 : 12,615.74 = 5,163.79 : x
  2. Step 2: Convert to fraction form
    9,141.84/12,615.74 = 5,163.79/x
  3. Step 3: Cross multiply
    9,141.84x = 12,615.74 × 5,163.79
  4. Step 4: Simplify right side
    9,141.84x = 65,145,032.05
  5. Step 5: Solve for x
    x = 65,145,032.05/9,141.84
  6. Step 6: Final answer
    x = 7,126.03

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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.