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Finding the Fourth Proportional to 7,204.27, 9,941.11 and 4,409.23

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Solution

The fourth proportional to 7,204.27, 9,941.11 and 4,409.23 is: 6,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.27 : 9,941.11 = 4,409.23 : x
  2. Step 2: Convert to fraction form
    7,204.27/9,941.11 = 4,409.23/x
  3. Step 3: Cross multiply
    7,204.27x = 9,941.11 × 4,409.23
  4. Step 4: Simplify right side
    7,204.27x = 43,832,640.45
  5. Step 5: Solve for x
    x = 43,832,640.45/7,204.27
  6. Step 6: Final answer
    x = 6,084.26

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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.