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Finding the Fourth Proportional to 6,583.02, 9,876.14 and 4,639.02

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Solution

The fourth proportional to 6,583.02, 9,876.14 and 4,639.02 is: 6,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.02 : 9,876.14 = 4,639.02 : x
  2. Step 2: Convert to fraction form
    6,583.02/9,876.14 = 4,639.02/x
  3. Step 3: Cross multiply
    6,583.02x = 9,876.14 × 4,639.02
  4. Step 4: Simplify right side
    6,583.02x = 45,815,587.79
  5. Step 5: Solve for x
    x = 45,815,587.79/6,583.02
  6. Step 6: Final answer
    x = 6,959.66

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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.