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Finding the Fourth Proportional to 12,650.96, 18,986.12 and 5,730.32

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Solution

The fourth proportional to 12,650.96, 18,986.12 and 5,730.32 is: 8,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.96 : 18,986.12 = 5,730.32 : x
  2. Step 2: Convert to fraction form
    12,650.96/18,986.12 = 5,730.32/x
  3. Step 3: Cross multiply
    12,650.96x = 18,986.12 × 5,730.32
  4. Step 4: Simplify right side
    12,650.96x = 108,796,543.16
  5. Step 5: Solve for x
    x = 108,796,543.16/12,650.96
  6. Step 6: Final answer
    x = 8,599.86

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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.