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Finding the Fourth Proportional to 6,170.69, 8,509.34 and 4,661.97

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Solution

The fourth proportional to 6,170.69, 8,509.34 and 4,661.97 is: 6,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.69 : 8,509.34 = 4,661.97 : x
  2. Step 2: Convert to fraction form
    6,170.69/8,509.34 = 4,661.97/x
  3. Step 3: Cross multiply
    6,170.69x = 8,509.34 × 4,661.97
  4. Step 4: Simplify right side
    6,170.69x = 39,670,241.32
  5. Step 5: Solve for x
    x = 39,670,241.32/6,170.69
  6. Step 6: Final answer
    x = 6,428.82

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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.