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Finding the Fourth Proportional to 4,677.69, 6,449.98 and 3,824.28

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Solution

The fourth proportional to 4,677.69, 6,449.98 and 3,824.28 is: 5,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.69 : 6,449.98 = 3,824.28 : x
  2. Step 2: Convert to fraction form
    4,677.69/6,449.98 = 3,824.28/x
  3. Step 3: Cross multiply
    4,677.69x = 6,449.98 × 3,824.28
  4. Step 4: Simplify right side
    4,677.69x = 24,666,544.14
  5. Step 5: Solve for x
    x = 24,666,544.14/4,677.69
  6. Step 6: Final answer
    x = 5,273.23

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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.