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Finding the Fourth Proportional to 7,226.94, 9,970.22 and 4,394.36

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Solution

The fourth proportional to 7,226.94, 9,970.22 and 4,394.36 is: 6,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.94 : 9,970.22 = 4,394.36 : x
  2. Step 2: Convert to fraction form
    7,226.94/9,970.22 = 4,394.36/x
  3. Step 3: Cross multiply
    7,226.94x = 9,970.22 × 4,394.36
  4. Step 4: Simplify right side
    7,226.94x = 43,812,735.96
  5. Step 5: Solve for x
    x = 43,812,735.96/7,226.94
  6. Step 6: Final answer
    x = 6,062.42

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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.