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Finding the Fourth Proportional to 7,223.77, 9,969.14 and 5,452.30

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Solution

The fourth proportional to 7,223.77, 9,969.14 and 5,452.30 is: 7,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.77 : 9,969.14 = 5,452.30 : x
  2. Step 2: Convert to fraction form
    7,223.77/9,969.14 = 5,452.30/x
  3. Step 3: Cross multiply
    7,223.77x = 9,969.14 × 5,452.30
  4. Step 4: Simplify right side
    7,223.77x = 54,354,742.02
  5. Step 5: Solve for x
    x = 54,354,742.02/7,223.77
  6. Step 6: Final answer
    x = 7,524.43

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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.