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Finding the Fourth Proportional to 7,223.50, 9,968.43 and 3,911.50

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Solution

The fourth proportional to 7,223.50, 9,968.43 and 3,911.50 is: 5,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.50 : 9,968.43 = 3,911.50 : x
  2. Step 2: Convert to fraction form
    7,223.50/9,968.43 = 3,911.50/x
  3. Step 3: Cross multiply
    7,223.50x = 9,968.43 × 3,911.50
  4. Step 4: Simplify right side
    7,223.50x = 38,991,513.95
  5. Step 5: Solve for x
    x = 38,991,513.95/7,223.50
  6. Step 6: Final answer
    x = 5,397.87

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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.