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Finding the Fourth Proportional to 6,846.00, 10,267.43 and 1,916.13

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Solution

The fourth proportional to 6,846.00, 10,267.43 and 1,916.13 is: 2,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.00 : 10,267.43 = 1,916.13 : x
  2. Step 2: Convert to fraction form
    6,846.00/10,267.43 = 1,916.13/x
  3. Step 3: Cross multiply
    6,846.00x = 10,267.43 × 1,916.13
  4. Step 4: Simplify right side
    6,846.00x = 19,673,759.57
  5. Step 5: Solve for x
    x = 19,673,759.57/6,846.00
  6. Step 6: Final answer
    x = 2,873.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.