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Finding the Fourth Proportional to 7,170.75, 9,896.14 and 4,026.94

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Solution

The fourth proportional to 7,170.75, 9,896.14 and 4,026.94 is: 5,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.75 : 9,896.14 = 4,026.94 : x
  2. Step 2: Convert to fraction form
    7,170.75/9,896.14 = 4,026.94/x
  3. Step 3: Cross multiply
    7,170.75x = 9,896.14 × 4,026.94
  4. Step 4: Simplify right side
    7,170.75x = 39,851,142.30
  5. Step 5: Solve for x
    x = 39,851,142.30/7,170.75
  6. Step 6: Final answer
    x = 5,557.46

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.