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Finding the Fourth Proportional to 4,775.40, 6,550.83 and 4,573.80

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Solution

The fourth proportional to 4,775.40, 6,550.83 and 4,573.80 is: 6,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.40 : 6,550.83 = 4,573.80 : x
  2. Step 2: Convert to fraction form
    4,775.40/6,550.83 = 4,573.80/x
  3. Step 3: Cross multiply
    4,775.40x = 6,550.83 × 4,573.80
  4. Step 4: Simplify right side
    4,775.40x = 29,962,186.25
  5. Step 5: Solve for x
    x = 29,962,186.25/4,775.40
  6. Step 6: Final answer
    x = 6,274.28

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.