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Finding the Fourth Proportional to 6,283.50, 9,461.87 and 4,651.62

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Solution

The fourth proportional to 6,283.50, 9,461.87 and 4,651.62 is: 7,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.50 : 9,461.87 = 4,651.62 : x
  2. Step 2: Convert to fraction form
    6,283.50/9,461.87 = 4,651.62/x
  3. Step 3: Cross multiply
    6,283.50x = 9,461.87 × 4,651.62
  4. Step 4: Simplify right side
    6,283.50x = 44,013,000.47
  5. Step 5: Solve for x
    x = 44,013,000.47/6,283.50
  6. Step 6: Final answer
    x = 7,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.