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Finding the Fourth Proportional to 6,465.57, 9,698.36 and 4,273.85

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Solution

The fourth proportional to 6,465.57, 9,698.36 and 4,273.85 is: 6,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.57 : 9,698.36 = 4,273.85 : x
  2. Step 2: Convert to fraction form
    6,465.57/9,698.36 = 4,273.85/x
  3. Step 3: Cross multiply
    6,465.57x = 9,698.36 × 4,273.85
  4. Step 4: Simplify right side
    6,465.57x = 41,449,266.02
  5. Step 5: Solve for x
    x = 41,449,266.02/6,465.57
  6. Step 6: Final answer
    x = 6,410.77

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Double scale
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Similar ratio
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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.