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Finding the Fourth Proportional to 9,974.70, 13,765 and 5,498.46

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Solution

The fourth proportional to 9,974.70, 13,765 and 5,498.46 is: 7,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.70 : 13,765 = 5,498.46 : x
  2. Step 2: Convert to fraction form
    9,974.70/13,765 = 5,498.46/x
  3. Step 3: Cross multiply
    9,974.70x = 13,765 × 5,498.46
  4. Step 4: Simplify right side
    9,974.70x = 75,686,301.90
  5. Step 5: Solve for x
    x = 75,686,301.90/9,974.70
  6. Step 6: Final answer
    x = 7,587.83

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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.