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Finding the Fourth Proportional to 4,756.20, 7,099.93 and 4,173

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Solution

The fourth proportional to 4,756.20, 7,099.93 and 4,173 is: 6,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.20 : 7,099.93 = 4,173 : x
  2. Step 2: Convert to fraction form
    4,756.20/7,099.93 = 4,173/x
  3. Step 3: Cross multiply
    4,756.20x = 7,099.93 × 4,173
  4. Step 4: Simplify right side
    4,756.20x = 29,627,997.46
  5. Step 5: Solve for x
    x = 29,627,997.46/4,756.20
  6. Step 6: Final answer
    x = 6,229.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.