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Finding the Fourth Proportional to 9,804.99, 14,709.31 and 3,965.70

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Solution

The fourth proportional to 9,804.99, 14,709.31 and 3,965.70 is: 5,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.99 : 14,709.31 = 3,965.70 : x
  2. Step 2: Convert to fraction form
    9,804.99/14,709.31 = 3,965.70/x
  3. Step 3: Cross multiply
    9,804.99x = 14,709.31 × 3,965.70
  4. Step 4: Simplify right side
    9,804.99x = 58,332,710.67
  5. Step 5: Solve for x
    x = 58,332,710.67/9,804.99
  6. Step 6: Final answer
    x = 5,949.29

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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.