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Finding the Fourth Proportional to 6,149.69, 8,486.53 and 3,497.10

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Solution

The fourth proportional to 6,149.69, 8,486.53 and 3,497.10 is: 4,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.69 : 8,486.53 = 3,497.10 : x
  2. Step 2: Convert to fraction form
    6,149.69/8,486.53 = 3,497.10/x
  3. Step 3: Cross multiply
    6,149.69x = 8,486.53 × 3,497.10
  4. Step 4: Simplify right side
    6,149.69x = 29,678,184.14
  5. Step 5: Solve for x
    x = 29,678,184.14/6,149.69
  6. Step 6: Final answer
    x = 4,825.97

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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.