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Finding the Fourth Proportional to 6,516.94, 9,775.42 and 1,586.54

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Solution

The fourth proportional to 6,516.94, 9,775.42 and 1,586.54 is: 2,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.94 : 9,775.42 = 1,586.54 : x
  2. Step 2: Convert to fraction form
    6,516.94/9,775.42 = 1,586.54/x
  3. Step 3: Cross multiply
    6,516.94x = 9,775.42 × 1,586.54
  4. Step 4: Simplify right side
    6,516.94x = 15,509,094.85
  5. Step 5: Solve for x
    x = 15,509,094.85/6,516.94
  6. Step 6: Final answer
    x = 2,379.81

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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.