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Finding the Fourth Proportional to 7,846.56, 10,828.26 and 4,310.00

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Solution

The fourth proportional to 7,846.56, 10,828.26 and 4,310.00 is: 5,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.56 : 10,828.26 = 4,310.00 : x
  2. Step 2: Convert to fraction form
    7,846.56/10,828.26 = 4,310.00/x
  3. Step 3: Cross multiply
    7,846.56x = 10,828.26 × 4,310.00
  4. Step 4: Simplify right side
    7,846.56x = 46,669,759.72
  5. Step 5: Solve for x
    x = 46,669,759.72/7,846.56
  6. Step 6: Final answer
    x = 5,947.80

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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.