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Finding the Fourth Proportional to 10,974.51, 15,145.02 and 6,195.41

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Solution

The fourth proportional to 10,974.51, 15,145.02 and 6,195.41 is: 8,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.51 : 15,145.02 = 6,195.41 : x
  2. Step 2: Convert to fraction form
    10,974.51/15,145.02 = 6,195.41/x
  3. Step 3: Cross multiply
    10,974.51x = 15,145.02 × 6,195.41
  4. Step 4: Simplify right side
    10,974.51x = 93,829,608.36
  5. Step 5: Solve for x
    x = 93,829,608.36/10,974.51
  6. Step 6: Final answer
    x = 8,549.78

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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.