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Finding the Fourth Proportional to 7,057.44, 10,586.16 and 5,678.64

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Solution

The fourth proportional to 7,057.44, 10,586.16 and 5,678.64 is: 8,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.44 : 10,586.16 = 5,678.64 : x
  2. Step 2: Convert to fraction form
    7,057.44/10,586.16 = 5,678.64/x
  3. Step 3: Cross multiply
    7,057.44x = 10,586.16 × 5,678.64
  4. Step 4: Simplify right side
    7,057.44x = 60,114,991.62
  5. Step 5: Solve for x
    x = 60,114,991.62/7,057.44
  6. Step 6: Final answer
    x = 8,517.96

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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.