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Finding the Fourth Proportional to 6,504.36, 9,741.88 and 3,901.80

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Solution

The fourth proportional to 6,504.36, 9,741.88 and 3,901.80 is: 5,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.36 : 9,741.88 = 3,901.80 : x
  2. Step 2: Convert to fraction form
    6,504.36/9,741.88 = 3,901.80/x
  3. Step 3: Cross multiply
    6,504.36x = 9,741.88 × 3,901.80
  4. Step 4: Simplify right side
    6,504.36x = 38,010,867.38
  5. Step 5: Solve for x
    x = 38,010,867.38/6,504.36
  6. Step 6: Final answer
    x = 5,843.91

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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.