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Finding the Fourth Proportional to 12,709.66, 19,064.49 and 3,475.66

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Solution

The fourth proportional to 12,709.66, 19,064.49 and 3,475.66 is: 5,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.66 : 19,064.49 = 3,475.66 : x
  2. Step 2: Convert to fraction form
    12,709.66/19,064.49 = 3,475.66/x
  3. Step 3: Cross multiply
    12,709.66x = 19,064.49 × 3,475.66
  4. Step 4: Simplify right side
    12,709.66x = 66,261,620.27
  5. Step 5: Solve for x
    x = 66,261,620.27/12,709.66
  6. Step 6: Final answer
    x = 5,213.49

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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.