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Finding the Fourth Proportional to 7,223.99, 9,969.53 and 4,037.22

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Solution

The fourth proportional to 7,223.99, 9,969.53 and 4,037.22 is: 5,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.99 : 9,969.53 = 4,037.22 : x
  2. Step 2: Convert to fraction form
    7,223.99/9,969.53 = 4,037.22/x
  3. Step 3: Cross multiply
    7,223.99x = 9,969.53 × 4,037.22
  4. Step 4: Simplify right side
    7,223.99x = 40,249,165.72
  5. Step 5: Solve for x
    x = 40,249,165.72/7,223.99
  6. Step 6: Final answer
    x = 5,571.60

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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.