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Finding the Fourth Proportional to 7,846.72, 10,828.50 and 4,309.84

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Solution

The fourth proportional to 7,846.72, 10,828.50 and 4,309.84 is: 5,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.72 : 10,828.50 = 4,309.84 : x
  2. Step 2: Convert to fraction form
    7,846.72/10,828.50 = 4,309.84/x
  3. Step 3: Cross multiply
    7,846.72x = 10,828.50 × 4,309.84
  4. Step 4: Simplify right side
    7,846.72x = 46,669,102.44
  5. Step 5: Solve for x
    x = 46,669,102.44/7,846.72
  6. Step 6: Final answer
    x = 5,947.59

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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.