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Finding the Fourth Proportional to 30,766.92, 46,161.12 and 9,710.22

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Solution

The fourth proportional to 30,766.92, 46,161.12 and 9,710.22 is: 14,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.92 : 46,161.12 = 9,710.22 : x
  2. Step 2: Convert to fraction form
    30,766.92/46,161.12 = 9,710.22/x
  3. Step 3: Cross multiply
    30,766.92x = 46,161.12 × 9,710.22
  4. Step 4: Simplify right side
    30,766.92x = 448,234,630.65
  5. Step 5: Solve for x
    x = 448,234,630.65/30,766.92
  6. Step 6: Final answer
    x = 14,568.72

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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.