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Finding the Fourth Proportional to 22,804.64, 34,206.71 and 7,222.26

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Solution

The fourth proportional to 22,804.64, 34,206.71 and 7,222.26 is: 10,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.64 : 34,206.71 = 7,222.26 : x
  2. Step 2: Convert to fraction form
    22,804.64/34,206.71 = 7,222.26/x
  3. Step 3: Cross multiply
    22,804.64x = 34,206.71 × 7,222.26
  4. Step 4: Simplify right side
    22,804.64x = 247,049,753.36
  5. Step 5: Solve for x
    x = 247,049,753.36/22,804.64
  6. Step 6: Final answer
    x = 10,833.31

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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.