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Finding the Fourth Proportional to 14,474.25, 19,974.47 and 7,850.25

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Solution

The fourth proportional to 14,474.25, 19,974.47 and 7,850.25 is: 10,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.25 : 19,974.47 = 7,850.25 : x
  2. Step 2: Convert to fraction form
    14,474.25/19,974.47 = 7,850.25/x
  3. Step 3: Cross multiply
    14,474.25x = 19,974.47 × 7,850.25
  4. Step 4: Simplify right side
    14,474.25x = 156,804,543.87
  5. Step 5: Solve for x
    x = 156,804,543.87/14,474.25
  6. Step 6: Final answer
    x = 10,833.35

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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.