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Finding the Fourth Proportional to 7,204.34, 9,941.74 and 4,222.13

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Solution

The fourth proportional to 7,204.34, 9,941.74 and 4,222.13 is: 5,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.34 : 9,941.74 = 4,222.13 : x
  2. Step 2: Convert to fraction form
    7,204.34/9,941.74 = 4,222.13/x
  3. Step 3: Cross multiply
    7,204.34x = 9,941.74 × 4,222.13
  4. Step 4: Simplify right side
    7,204.34x = 41,975,258.44
  5. Step 5: Solve for x
    x = 41,975,258.44/7,204.34
  6. Step 6: Final answer
    x = 5,826.38

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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.