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Finding the Fourth Proportional to 6,283.44, 9,405.60 and 4,900.80

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Solution

The fourth proportional to 6,283.44, 9,405.60 and 4,900.80 is: 7,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.44 : 9,405.60 = 4,900.80 : x
  2. Step 2: Convert to fraction form
    6,283.44/9,405.60 = 4,900.80/x
  3. Step 3: Cross multiply
    6,283.44x = 9,405.60 × 4,900.80
  4. Step 4: Simplify right side
    6,283.44x = 46,094,964.48
  5. Step 5: Solve for x
    x = 46,094,964.48/6,283.44
  6. Step 6: Final answer
    x = 7,335.94

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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.