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Finding the Fourth Proportional to 6,655.80, 9,973.98 and 3,734.94

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Solution

The fourth proportional to 6,655.80, 9,973.98 and 3,734.94 is: 5,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.80 : 9,973.98 = 3,734.94 : x
  2. Step 2: Convert to fraction form
    6,655.80/9,973.98 = 3,734.94/x
  3. Step 3: Cross multiply
    6,655.80x = 9,973.98 × 3,734.94
  4. Step 4: Simplify right side
    6,655.80x = 37,252,216.86
  5. Step 5: Solve for x
    x = 37,252,216.86/6,655.80
  6. Step 6: Final answer
    x = 5,596.96

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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.