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Finding the Fourth Proportional to 6,772.71, 9,364.50 and 5,942.46

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Solution

The fourth proportional to 6,772.71, 9,364.50 and 5,942.46 is: 8,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.71 : 9,364.50 = 5,942.46 : x
  2. Step 2: Convert to fraction form
    6,772.71/9,364.50 = 5,942.46/x
  3. Step 3: Cross multiply
    6,772.71x = 9,364.50 × 5,942.46
  4. Step 4: Simplify right side
    6,772.71x = 55,648,166.67
  5. Step 5: Solve for x
    x = 55,648,166.67/6,772.71
  6. Step 6: Final answer
    x = 8,216.53

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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.