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Finding the Fourth Proportional to 7,333.50, 10,120.23 and 4,021.50

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Solution

The fourth proportional to 7,333.50, 10,120.23 and 4,021.50 is: 5,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.50 : 10,120.23 = 4,021.50 : x
  2. Step 2: Convert to fraction form
    7,333.50/10,120.23 = 4,021.50/x
  3. Step 3: Cross multiply
    7,333.50x = 10,120.23 × 4,021.50
  4. Step 4: Simplify right side
    7,333.50x = 40,698,504.95
  5. Step 5: Solve for x
    x = 40,698,504.95/7,333.50
  6. Step 6: Final answer
    x = 5,549.67

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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.