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Finding the Fourth Proportional to 30,843.48, 46,267.92 and 8,657.04

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Solution

The fourth proportional to 30,843.48, 46,267.92 and 8,657.04 is: 12,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.48 : 46,267.92 = 8,657.04 : x
  2. Step 2: Convert to fraction form
    30,843.48/46,267.92 = 8,657.04/x
  3. Step 3: Cross multiply
    30,843.48x = 46,267.92 × 8,657.04
  4. Step 4: Simplify right side
    30,843.48x = 400,543,234.16
  5. Step 5: Solve for x
    x = 400,543,234.16/30,843.48
  6. Step 6: Final answer
    x = 12,986.32

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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.