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Finding the Fourth Proportional to 12,793, 19,157.44 and 8,098.84

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Solution

The fourth proportional to 12,793, 19,157.44 and 8,098.84 is: 12,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793 : 19,157.44 = 8,098.84 : x
  2. Step 2: Convert to fraction form
    12,793/19,157.44 = 8,098.84/x
  3. Step 3: Cross multiply
    12,793x = 19,157.44 × 8,098.84
  4. Step 4: Simplify right side
    12,793x = 155,153,041.37
  5. Step 5: Solve for x
    x = 155,153,041.37/12,793
  6. Step 6: Final answer
    x = 12,127.96

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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.