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Finding the Fourth Proportional to 9,846.92, 13,583.94 and 5,866.76

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Solution

The fourth proportional to 9,846.92, 13,583.94 and 5,866.76 is: 8,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.92 : 13,583.94 = 5,866.76 : x
  2. Step 2: Convert to fraction form
    9,846.92/13,583.94 = 5,866.76/x
  3. Step 3: Cross multiply
    9,846.92x = 13,583.94 × 5,866.76
  4. Step 4: Simplify right side
    9,846.92x = 79,693,715.83
  5. Step 5: Solve for x
    x = 79,693,715.83/9,846.92
  6. Step 6: Final answer
    x = 8,093.26

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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.