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Finding the Fourth Proportional to 7,806.34, 10,772.49 and 4,660.66

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Solution

The fourth proportional to 7,806.34, 10,772.49 and 4,660.66 is: 6,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.34 : 10,772.49 = 4,660.66 : x
  2. Step 2: Convert to fraction form
    7,806.34/10,772.49 = 4,660.66/x
  3. Step 3: Cross multiply
    7,806.34x = 10,772.49 × 4,660.66
  4. Step 4: Simplify right side
    7,806.34x = 50,206,913.24
  5. Step 5: Solve for x
    x = 50,206,913.24/7,806.34
  6. Step 6: Final answer
    x = 6,431.56

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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.