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Finding the Fourth Proportional to 7,204.50, 9,940.50 and 4,554.96

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Solution

The fourth proportional to 7,204.50, 9,940.50 and 4,554.96 is: 6,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.50 : 9,940.50 = 4,554.96 : x
  2. Step 2: Convert to fraction form
    7,204.50/9,940.50 = 4,554.96/x
  3. Step 3: Cross multiply
    7,204.50x = 9,940.50 × 4,554.96
  4. Step 4: Simplify right side
    7,204.50x = 45,278,579.88
  5. Step 5: Solve for x
    x = 45,278,579.88/7,204.50
  6. Step 6: Final answer
    x = 6,284.76

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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.