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Finding the Fourth Proportional to 7,163.84, 10,671.89 and 6,946.22

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Solution

The fourth proportional to 7,163.84, 10,671.89 and 6,946.22 is: 10,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.84 : 10,671.89 = 6,946.22 : x
  2. Step 2: Convert to fraction form
    7,163.84/10,671.89 = 6,946.22/x
  3. Step 3: Cross multiply
    7,163.84x = 10,671.89 × 6,946.22
  4. Step 4: Simplify right side
    7,163.84x = 74,129,287.70
  5. Step 5: Solve for x
    x = 74,129,287.70/7,163.84
  6. Step 6: Final answer
    x = 10,347.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.