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Finding the Fourth Proportional to 7,846.92, 10,828.80 and 4,310.10

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Solution

The fourth proportional to 7,846.92, 10,828.80 and 4,310.10 is: 5,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.92 : 10,828.80 = 4,310.10 : x
  2. Step 2: Convert to fraction form
    7,846.92/10,828.80 = 4,310.10/x
  3. Step 3: Cross multiply
    7,846.92x = 10,828.80 × 4,310.10
  4. Step 4: Simplify right side
    7,846.92x = 46,673,210.88
  5. Step 5: Solve for x
    x = 46,673,210.88/7,846.92
  6. Step 6: Final answer
    x = 5,947.97

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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.