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Finding the Fourth Proportional to 7,026.75, 9,698.13 and 4,232.25

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Solution

The fourth proportional to 7,026.75, 9,698.13 and 4,232.25 is: 5,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.75 : 9,698.13 = 4,232.25 : x
  2. Step 2: Convert to fraction form
    7,026.75/9,698.13 = 4,232.25/x
  3. Step 3: Cross multiply
    7,026.75x = 9,698.13 × 4,232.25
  4. Step 4: Simplify right side
    7,026.75x = 41,044,910.69
  5. Step 5: Solve for x
    x = 41,044,910.69/7,026.75
  6. Step 6: Final answer
    x = 5,841.24

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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.