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Finding the Fourth Proportional to 4,702.87, 7,059.27 and 4,596.97

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Solution

The fourth proportional to 4,702.87, 7,059.27 and 4,596.97 is: 6,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.87 : 7,059.27 = 4,596.97 : x
  2. Step 2: Convert to fraction form
    4,702.87/7,059.27 = 4,596.97/x
  3. Step 3: Cross multiply
    4,702.87x = 7,059.27 × 4,596.97
  4. Step 4: Simplify right side
    4,702.87x = 32,451,252.41
  5. Step 5: Solve for x
    x = 32,451,252.41/4,702.87
  6. Step 6: Final answer
    x = 6,900.31

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1.5x scale

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.