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Finding the Fourth Proportional to 7,846.86, 10,828.40 and 4,309.72

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Solution

The fourth proportional to 7,846.86, 10,828.40 and 4,309.72 is: 5,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.86 : 10,828.40 = 4,309.72 : x
  2. Step 2: Convert to fraction form
    7,846.86/10,828.40 = 4,309.72/x
  3. Step 3: Cross multiply
    7,846.86x = 10,828.40 × 4,309.72
  4. Step 4: Simplify right side
    7,846.86x = 46,667,372.05
  5. Step 5: Solve for x
    x = 46,667,372.05/7,846.86
  6. Step 6: Final answer
    x = 5,947.27

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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.