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Finding the Fourth Proportional to 4,647.74, 6,973.63 and 2,182.37

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Solution

The fourth proportional to 4,647.74, 6,973.63 and 2,182.37 is: 3,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.74 : 6,973.63 = 2,182.37 : x
  2. Step 2: Convert to fraction form
    4,647.74/6,973.63 = 2,182.37/x
  3. Step 3: Cross multiply
    4,647.74x = 6,973.63 × 2,182.37
  4. Step 4: Simplify right side
    4,647.74x = 15,219,000.58
  5. Step 5: Solve for x
    x = 15,219,000.58/4,647.74
  6. Step 6: Final answer
    x = 3,274.50

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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.