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Finding the Fourth Proportional to 6,803.73, 9,386.46 and 4,146.54

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Solution

The fourth proportional to 6,803.73, 9,386.46 and 4,146.54 is: 5,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.73 : 9,386.46 = 4,146.54 : x
  2. Step 2: Convert to fraction form
    6,803.73/9,386.46 = 4,146.54/x
  3. Step 3: Cross multiply
    6,803.73x = 9,386.46 × 4,146.54
  4. Step 4: Simplify right side
    6,803.73x = 38,921,331.85
  5. Step 5: Solve for x
    x = 38,921,331.85/6,803.73
  6. Step 6: Final answer
    x = 5,720.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.