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Finding the Fourth Proportional to 12,709.94, 19,064.91 and 3,475.94

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Solution

The fourth proportional to 12,709.94, 19,064.91 and 3,475.94 is: 5,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.94 : 19,064.91 = 3,475.94 : x
  2. Step 2: Convert to fraction form
    12,709.94/19,064.91 = 3,475.94/x
  3. Step 3: Cross multiply
    12,709.94x = 19,064.91 × 3,475.94
  4. Step 4: Simplify right side
    12,709.94x = 66,268,483.27
  5. Step 5: Solve for x
    x = 66,268,483.27/12,709.94
  6. Step 6: Final answer
    x = 5,213.91

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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.