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Finding the Fourth Proportional to 6,321.50, 9,482.25 and 1,704.50

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Solution

The fourth proportional to 6,321.50, 9,482.25 and 1,704.50 is: 2,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.50 : 9,482.25 = 1,704.50 : x
  2. Step 2: Convert to fraction form
    6,321.50/9,482.25 = 1,704.50/x
  3. Step 3: Cross multiply
    6,321.50x = 9,482.25 × 1,704.50
  4. Step 4: Simplify right side
    6,321.50x = 16,162,495.13
  5. Step 5: Solve for x
    x = 16,162,495.13/6,321.50
  6. Step 6: Final answer
    x = 2,556.75

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Half scale
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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.