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Finding the Fourth Proportional to 7,846.66, 10,828.24 and 4,309.80

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Solution

The fourth proportional to 7,846.66, 10,828.24 and 4,309.80 is: 5,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.66 : 10,828.24 = 4,309.80 : x
  2. Step 2: Convert to fraction form
    7,846.66/10,828.24 = 4,309.80/x
  3. Step 3: Cross multiply
    7,846.66x = 10,828.24 × 4,309.80
  4. Step 4: Simplify right side
    7,846.66x = 46,667,548.75
  5. Step 5: Solve for x
    x = 46,667,548.75/7,846.66
  6. Step 6: Final answer
    x = 5,947.44

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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.