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Finding the Fourth Proportional to 6,503.14, 8,973.92 and 3,670.96

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Solution

The fourth proportional to 6,503.14, 8,973.92 and 3,670.96 is: 5,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.14 : 8,973.92 = 3,670.96 : x
  2. Step 2: Convert to fraction form
    6,503.14/8,973.92 = 3,670.96/x
  3. Step 3: Cross multiply
    6,503.14x = 8,973.92 × 3,670.96
  4. Step 4: Simplify right side
    6,503.14x = 32,942,901.36
  5. Step 5: Solve for x
    x = 32,942,901.36/6,503.14
  6. Step 6: Final answer
    x = 5,065.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.