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Finding the Fourth Proportional to 7,100.12, 9,797.94 and 4,448.96

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Solution

The fourth proportional to 7,100.12, 9,797.94 and 4,448.96 is: 6,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.12 : 9,797.94 = 4,448.96 : x
  2. Step 2: Convert to fraction form
    7,100.12/9,797.94 = 4,448.96/x
  3. Step 3: Cross multiply
    7,100.12x = 9,797.94 × 4,448.96
  4. Step 4: Simplify right side
    7,100.12x = 43,590,643.14
  5. Step 5: Solve for x
    x = 43,590,643.14/7,100.12
  6. Step 6: Final answer
    x = 6,139.42

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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.