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Finding the Fourth Proportional to 30,974.48, 46,461.75 and 8,483.51

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Solution

The fourth proportional to 30,974.48, 46,461.75 and 8,483.51 is: 12,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.48 : 46,461.75 = 8,483.51 : x
  2. Step 2: Convert to fraction form
    30,974.48/46,461.75 = 8,483.51/x
  3. Step 3: Cross multiply
    30,974.48x = 46,461.75 × 8,483.51
  4. Step 4: Simplify right side
    30,974.48x = 394,158,488.43
  5. Step 5: Solve for x
    x = 394,158,488.43/30,974.48
  6. Step 6: Final answer
    x = 12,725.27

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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.