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Finding the Fourth Proportional to 6,454.69, 9,683.65 and 1,837.69

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Solution

The fourth proportional to 6,454.69, 9,683.65 and 1,837.69 is: 2,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.69 : 9,683.65 = 1,837.69 : x
  2. Step 2: Convert to fraction form
    6,454.69/9,683.65 = 1,837.69/x
  3. Step 3: Cross multiply
    6,454.69x = 9,683.65 × 1,837.69
  4. Step 4: Simplify right side
    6,454.69x = 17,795,524.86
  5. Step 5: Solve for x
    x = 17,795,524.86/6,454.69
  6. Step 6: Final answer
    x = 2,756.99

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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.