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Finding the Fourth Proportional to 7,223.76, 9,968.67 and 4,037.13

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Solution

The fourth proportional to 7,223.76, 9,968.67 and 4,037.13 is: 5,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.76 : 9,968.67 = 4,037.13 : x
  2. Step 2: Convert to fraction form
    7,223.76/9,968.67 = 4,037.13/x
  3. Step 3: Cross multiply
    7,223.76x = 9,968.67 × 4,037.13
  4. Step 4: Simplify right side
    7,223.76x = 40,244,816.72
  5. Step 5: Solve for x
    x = 40,244,816.72/7,223.76
  6. Step 6: Final answer
    x = 5,571.17

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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.