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Finding the Fourth Proportional to 4,533.54, 6,797.54 and 4,146.80

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Solution

The fourth proportional to 4,533.54, 6,797.54 and 4,146.80 is: 6,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.54 : 6,797.54 = 4,146.80 : x
  2. Step 2: Convert to fraction form
    4,533.54/6,797.54 = 4,146.80/x
  3. Step 3: Cross multiply
    4,533.54x = 6,797.54 × 4,146.80
  4. Step 4: Simplify right side
    4,533.54x = 28,188,038.87
  5. Step 5: Solve for x
    x = 28,188,038.87/4,533.54
  6. Step 6: Final answer
    x = 6,217.67

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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.