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Finding the Fourth Proportional to 10,926.24, 15,077.76 and 5,958.24

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Solution

The fourth proportional to 10,926.24, 15,077.76 and 5,958.24 is: 8,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.24 : 15,077.76 = 5,958.24 : x
  2. Step 2: Convert to fraction form
    10,926.24/15,077.76 = 5,958.24/x
  3. Step 3: Cross multiply
    10,926.24x = 15,077.76 × 5,958.24
  4. Step 4: Simplify right side
    10,926.24x = 89,836,912.74
  5. Step 5: Solve for x
    x = 89,836,912.74/10,926.24
  6. Step 6: Final answer
    x = 8,222.13

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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.