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Finding the Fourth Proportional to 9,974.47, 13,751.99 and 8,175.33

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Solution

The fourth proportional to 9,974.47, 13,751.99 and 8,175.33 is: 11,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.47 : 13,751.99 = 8,175.33 : x
  2. Step 2: Convert to fraction form
    9,974.47/13,751.99 = 8,175.33/x
  3. Step 3: Cross multiply
    9,974.47x = 13,751.99 × 8,175.33
  4. Step 4: Simplify right side
    9,974.47x = 112,427,056.41
  5. Step 5: Solve for x
    x = 112,427,056.41/9,974.47
  6. Step 6: Final answer
    x = 11,271.48

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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.