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Finding the Fourth Proportional to 30,770.95, 46,156.79 and 8,582.97

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Solution

The fourth proportional to 30,770.95, 46,156.79 and 8,582.97 is: 12,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.95 : 46,156.79 = 8,582.97 : x
  2. Step 2: Convert to fraction form
    30,770.95/46,156.79 = 8,582.97/x
  3. Step 3: Cross multiply
    30,770.95x = 46,156.79 × 8,582.97
  4. Step 4: Simplify right side
    30,770.95x = 396,162,300.95
  5. Step 5: Solve for x
    x = 396,162,300.95/30,770.95
  6. Step 6: Final answer
    x = 12,874.56

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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.