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Finding the Fourth Proportional to 7,746, 10,682.24 and 5,974.80

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Solution

The fourth proportional to 7,746, 10,682.24 and 5,974.80 is: 8,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 10,682.24 = 5,974.80 : x
  2. Step 2: Convert to fraction form
    7,746/10,682.24 = 5,974.80/x
  3. Step 3: Cross multiply
    7,746x = 10,682.24 × 5,974.80
  4. Step 4: Simplify right side
    7,746x = 63,824,247.55
  5. Step 5: Solve for x
    x = 63,824,247.55/7,746
  6. Step 6: Final answer
    x = 8,239.64

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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.