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Finding the Fourth Proportional to 31,011, 46,511.48 and 8,516.44

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Solution

The fourth proportional to 31,011, 46,511.48 and 8,516.44 is: 12,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011 : 46,511.48 = 8,516.44 : x
  2. Step 2: Convert to fraction form
    31,011/46,511.48 = 8,516.44/x
  3. Step 3: Cross multiply
    31,011x = 46,511.48 × 8,516.44
  4. Step 4: Simplify right side
    31,011x = 396,112,228.73
  5. Step 5: Solve for x
    x = 396,112,228.73/31,011
  6. Step 6: Final answer
    x = 12,773.28

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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.