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Finding the Fourth Proportional to 4,803.93, 7,205.76 and 2,206.80

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Solution

The fourth proportional to 4,803.93, 7,205.76 and 2,206.80 is: 3,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.93 : 7,205.76 = 2,206.80 : x
  2. Step 2: Convert to fraction form
    4,803.93/7,205.76 = 2,206.80/x
  3. Step 3: Cross multiply
    4,803.93x = 7,205.76 × 2,206.80
  4. Step 4: Simplify right side
    4,803.93x = 15,901,671.17
  5. Step 5: Solve for x
    x = 15,901,671.17/4,803.93
  6. Step 6: Final answer
    x = 3,310.14

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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.