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Finding the Fourth Proportional to 7,846.81, 10,828.68 and 4,310.05

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Solution

The fourth proportional to 7,846.81, 10,828.68 and 4,310.05 is: 5,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.81 : 10,828.68 = 4,310.05 : x
  2. Step 2: Convert to fraction form
    7,846.81/10,828.68 = 4,310.05/x
  3. Step 3: Cross multiply
    7,846.81x = 10,828.68 × 4,310.05
  4. Step 4: Simplify right side
    7,846.81x = 46,672,152.23
  5. Step 5: Solve for x
    x = 46,672,152.23/7,846.81
  6. Step 6: Final answer
    x = 5,947.91

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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.