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Finding the Fourth Proportional to 7,229.99, 9,976.35 and 4,205.01

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Solution

The fourth proportional to 7,229.99, 9,976.35 and 4,205.01 is: 5,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.99 : 9,976.35 = 4,205.01 : x
  2. Step 2: Convert to fraction form
    7,229.99/9,976.35 = 4,205.01/x
  3. Step 3: Cross multiply
    7,229.99x = 9,976.35 × 4,205.01
  4. Step 4: Simplify right side
    7,229.99x = 41,950,651.51
  5. Step 5: Solve for x
    x = 41,950,651.51/7,229.99
  6. Step 6: Final answer
    x = 5,802.32

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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.