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Finding the Fourth Proportional to 15,201.94, 22,797.10 and 7,302.26

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Solution

The fourth proportional to 15,201.94, 22,797.10 and 7,302.26 is: 10,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.94 : 22,797.10 = 7,302.26 : x
  2. Step 2: Convert to fraction form
    15,201.94/22,797.10 = 7,302.26/x
  3. Step 3: Cross multiply
    15,201.94x = 22,797.10 × 7,302.26
  4. Step 4: Simplify right side
    15,201.94x = 166,470,351.45
  5. Step 5: Solve for x
    x = 166,470,351.45/15,201.94
  6. Step 6: Final answer
    x = 10,950.60

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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.