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Finding the Fourth Proportional to 9,974.97, 14,962.36 and 3,818.97

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Solution

The fourth proportional to 9,974.97, 14,962.36 and 3,818.97 is: 5,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.97 : 14,962.36 = 3,818.97 : x
  2. Step 2: Convert to fraction form
    9,974.97/14,962.36 = 3,818.97/x
  3. Step 3: Cross multiply
    9,974.97x = 14,962.36 × 3,818.97
  4. Step 4: Simplify right side
    9,974.97x = 57,140,719.61
  5. Step 5: Solve for x
    x = 57,140,719.61/9,974.97
  6. Step 6: Final answer
    x = 5,728.41

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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.