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Finding the Fourth Proportional to 7,846.97, 10,825.11 and 5,012.87

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Solution

The fourth proportional to 7,846.97, 10,825.11 and 5,012.87 is: 6,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.97 : 10,825.11 = 5,012.87 : x
  2. Step 2: Convert to fraction form
    7,846.97/10,825.11 = 5,012.87/x
  3. Step 3: Cross multiply
    7,846.97x = 10,825.11 × 5,012.87
  4. Step 4: Simplify right side
    7,846.97x = 54,264,815.04
  5. Step 5: Solve for x
    x = 54,264,815.04/7,846.97
  6. Step 6: Final answer
    x = 6,915.39

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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.