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Finding the Fourth Proportional to 6,329.31, 8,734.64 and 3,534.75

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Solution

The fourth proportional to 6,329.31, 8,734.64 and 3,534.75 is: 4,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.31 : 8,734.64 = 3,534.75 : x
  2. Step 2: Convert to fraction form
    6,329.31/8,734.64 = 3,534.75/x
  3. Step 3: Cross multiply
    6,329.31x = 8,734.64 × 3,534.75
  4. Step 4: Simplify right side
    6,329.31x = 30,874,751.07
  5. Step 5: Solve for x
    x = 30,874,751.07/6,329.31
  6. Step 6: Final answer
    x = 4,878.06

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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.