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Finding the Fourth Proportional to 6,474.45, 8,933.20 and 4,702.98

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Solution

The fourth proportional to 6,474.45, 8,933.20 and 4,702.98 is: 6,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.45 : 8,933.20 = 4,702.98 : x
  2. Step 2: Convert to fraction form
    6,474.45/8,933.20 = 4,702.98/x
  3. Step 3: Cross multiply
    6,474.45x = 8,933.20 × 4,702.98
  4. Step 4: Simplify right side
    6,474.45x = 42,012,660.94
  5. Step 5: Solve for x
    x = 42,012,660.94/6,474.45
  6. Step 6: Final answer
    x = 6,488.99

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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.