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Finding the Fourth Proportional to 6,329.88, 8,735.19 and 3,497.24

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Solution

The fourth proportional to 6,329.88, 8,735.19 and 3,497.24 is: 4,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.88 : 8,735.19 = 3,497.24 : x
  2. Step 2: Convert to fraction form
    6,329.88/8,735.19 = 3,497.24/x
  3. Step 3: Cross multiply
    6,329.88x = 8,735.19 × 3,497.24
  4. Step 4: Simplify right side
    6,329.88x = 30,549,055.88
  5. Step 5: Solve for x
    x = 30,549,055.88/6,329.88
  6. Step 6: Final answer
    x = 4,826.17

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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.