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Finding the Fourth Proportional to 6,586.50, 9,871.14 and 5,751.47

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Solution

The fourth proportional to 6,586.50, 9,871.14 and 5,751.47 is: 8,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.50 : 9,871.14 = 5,751.47 : x
  2. Step 2: Convert to fraction form
    6,586.50/9,871.14 = 5,751.47/x
  3. Step 3: Cross multiply
    6,586.50x = 9,871.14 × 5,751.47
  4. Step 4: Simplify right side
    6,586.50x = 56,773,516.22
  5. Step 5: Solve for x
    x = 56,773,516.22/6,586.50
  6. Step 6: Final answer
    x = 8,619.68

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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.