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Finding the Fourth Proportional to 6,127.41, 9,189.41 and 1,684.01

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Solution

The fourth proportional to 6,127.41, 9,189.41 and 1,684.01 is: 2,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.41 : 9,189.41 = 1,684.01 : x
  2. Step 2: Convert to fraction form
    6,127.41/9,189.41 = 1,684.01/x
  3. Step 3: Cross multiply
    6,127.41x = 9,189.41 × 1,684.01
  4. Step 4: Simplify right side
    6,127.41x = 15,475,003.97
  5. Step 5: Solve for x
    x = 15,475,003.97/6,127.41
  6. Step 6: Final answer
    x = 2,525.54

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Double scale
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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.