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Finding the Fourth Proportional to 6,582.43, 9,866.66 and 3,068.35

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Solution

The fourth proportional to 6,582.43, 9,866.66 and 3,068.35 is: 4,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.43 : 9,866.66 = 3,068.35 : x
  2. Step 2: Convert to fraction form
    6,582.43/9,866.66 = 3,068.35/x
  3. Step 3: Cross multiply
    6,582.43x = 9,866.66 × 3,068.35
  4. Step 4: Simplify right side
    6,582.43x = 30,274,343.46
  5. Step 5: Solve for x
    x = 30,274,343.46/6,582.43
  6. Step 6: Final answer
    x = 4,599.26

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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.