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Finding the Fourth Proportional to 30,951.52, 46,432.74 and 9,893.44

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Solution

The fourth proportional to 30,951.52, 46,432.74 and 9,893.44 is: 14,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.52 : 46,432.74 = 9,893.44 : x
  2. Step 2: Convert to fraction form
    30,951.52/46,432.74 = 9,893.44/x
  3. Step 3: Cross multiply
    30,951.52x = 46,432.74 × 9,893.44
  4. Step 4: Simplify right side
    30,951.52x = 459,379,622.37
  5. Step 5: Solve for x
    x = 459,379,622.37/30,951.52
  6. Step 6: Final answer
    x = 14,841.91

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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.