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Finding the Fourth Proportional to 10,718.70, 14,791.46 and 5,938.46

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Solution

The fourth proportional to 10,718.70, 14,791.46 and 5,938.46 is: 8,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.70 : 14,791.46 = 5,938.46 : x
  2. Step 2: Convert to fraction form
    10,718.70/14,791.46 = 5,938.46/x
  3. Step 3: Cross multiply
    10,718.70x = 14,791.46 × 5,938.46
  4. Step 4: Simplify right side
    10,718.70x = 87,838,389.90
  5. Step 5: Solve for x
    x = 87,838,389.90/10,718.70
  6. Step 6: Final answer
    x = 8,194.87

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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.