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Finding the Fourth Proportional to 9,982.70, 14,974.05 and 7,358.30

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Solution

The fourth proportional to 9,982.70, 14,974.05 and 7,358.30 is: 11,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.70 : 14,974.05 = 7,358.30 : x
  2. Step 2: Convert to fraction form
    9,982.70/14,974.05 = 7,358.30/x
  3. Step 3: Cross multiply
    9,982.70x = 14,974.05 × 7,358.30
  4. Step 4: Simplify right side
    9,982.70x = 110,183,552.12
  5. Step 5: Solve for x
    x = 110,183,552.12/9,982.70
  6. Step 6: Final answer
    x = 11,037.45

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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.