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Finding the Fourth Proportional to 9,974.03, 13,764.80 and 5,497.79

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Solution

The fourth proportional to 9,974.03, 13,764.80 and 5,497.79 is: 7,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.03 : 13,764.80 = 5,497.79 : x
  2. Step 2: Convert to fraction form
    9,974.03/13,764.80 = 5,497.79/x
  3. Step 3: Cross multiply
    9,974.03x = 13,764.80 × 5,497.79
  4. Step 4: Simplify right side
    9,974.03x = 75,675,883.48
  5. Step 5: Solve for x
    x = 75,675,883.48/9,974.03
  6. Step 6: Final answer
    x = 7,587.30

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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.