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Finding the Fourth Proportional to 4,803.62, 7,205.43 and 1,293.63

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Solution

The fourth proportional to 4,803.62, 7,205.43 and 1,293.63 is: 1,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.62 : 7,205.43 = 1,293.63 : x
  2. Step 2: Convert to fraction form
    4,803.62/7,205.43 = 1,293.63/x
  3. Step 3: Cross multiply
    4,803.62x = 7,205.43 × 1,293.63
  4. Step 4: Simplify right side
    4,803.62x = 9,321,160.41
  5. Step 5: Solve for x
    x = 9,321,160.41/4,803.62
  6. Step 6: Final answer
    x = 1,940.45

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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.