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Finding the Fourth Proportional to 6,146.37, 9,221.07 and 1,764.16

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Solution

The fourth proportional to 6,146.37, 9,221.07 and 1,764.16 is: 2,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.37 : 9,221.07 = 1,764.16 : x
  2. Step 2: Convert to fraction form
    6,146.37/9,221.07 = 1,764.16/x
  3. Step 3: Cross multiply
    6,146.37x = 9,221.07 × 1,764.16
  4. Step 4: Simplify right side
    6,146.37x = 16,267,442.85
  5. Step 5: Solve for x
    x = 16,267,442.85/6,146.37
  6. Step 6: Final answer
    x = 2,646.67

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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.