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Finding the Fourth Proportional to 6,516.70, 9,775.07 and 1,586.33

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Solution

The fourth proportional to 6,516.70, 9,775.07 and 1,586.33 is: 2,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.70 : 9,775.07 = 1,586.33 : x
  2. Step 2: Convert to fraction form
    6,516.70/9,775.07 = 1,586.33/x
  3. Step 3: Cross multiply
    6,516.70x = 9,775.07 × 1,586.33
  4. Step 4: Simplify right side
    6,516.70x = 15,506,478.86
  5. Step 5: Solve for x
    x = 15,506,478.86/6,516.70
  6. Step 6: Final answer
    x = 2,379.50

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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.