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Finding the Fourth Proportional to 7,072.84, 10,592.84 and 6,826.82

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Solution

The fourth proportional to 7,072.84, 10,592.84 and 6,826.82 is: 10,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.84 : 10,592.84 = 6,826.82 : x
  2. Step 2: Convert to fraction form
    7,072.84/10,592.84 = 6,826.82/x
  3. Step 3: Cross multiply
    7,072.84x = 10,592.84 × 6,826.82
  4. Step 4: Simplify right side
    7,072.84x = 72,315,411.97
  5. Step 5: Solve for x
    x = 72,315,411.97/7,072.84
  6. Step 6: Final answer
    x = 10,224.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.