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Finding the Fourth Proportional to 4,970.22, 7,469.46 and 4,786.14

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Solution

The fourth proportional to 4,970.22, 7,469.46 and 4,786.14 is: 7,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.22 : 7,469.46 = 4,786.14 : x
  2. Step 2: Convert to fraction form
    4,970.22/7,469.46 = 4,786.14/x
  3. Step 3: Cross multiply
    4,970.22x = 7,469.46 × 4,786.14
  4. Step 4: Simplify right side
    4,970.22x = 35,749,881.28
  5. Step 5: Solve for x
    x = 35,749,881.28/4,970.22
  6. Step 6: Final answer
    x = 7,192.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.