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Finding the Fourth Proportional to 6,164.76, 9,247.14 and 3,566.28

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Solution

The fourth proportional to 6,164.76, 9,247.14 and 3,566.28 is: 5,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.76 : 9,247.14 = 3,566.28 : x
  2. Step 2: Convert to fraction form
    6,164.76/9,247.14 = 3,566.28/x
  3. Step 3: Cross multiply
    6,164.76x = 9,247.14 × 3,566.28
  4. Step 4: Simplify right side
    6,164.76x = 32,977,890.44
  5. Step 5: Solve for x
    x = 32,977,890.44/6,164.76
  6. Step 6: Final answer
    x = 5,349.42

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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.