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Finding the Fourth Proportional to 6,506.55, 8,976.63 and 4,269.68

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Solution

The fourth proportional to 6,506.55, 8,976.63 and 4,269.68 is: 5,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.55 : 8,976.63 = 4,269.68 : x
  2. Step 2: Convert to fraction form
    6,506.55/8,976.63 = 4,269.68/x
  3. Step 3: Cross multiply
    6,506.55x = 8,976.63 × 4,269.68
  4. Step 4: Simplify right side
    6,506.55x = 38,327,292.70
  5. Step 5: Solve for x
    x = 38,327,292.70/6,506.55
  6. Step 6: Final answer
    x = 5,890.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.