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Finding the Fourth Proportional to 6,328.62, 8,734.50 and 3,534.12

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Solution

The fourth proportional to 6,328.62, 8,734.50 and 3,534.12 is: 4,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.62 : 8,734.50 = 3,534.12 : x
  2. Step 2: Convert to fraction form
    6,328.62/8,734.50 = 3,534.12/x
  3. Step 3: Cross multiply
    6,328.62x = 8,734.50 × 3,534.12
  4. Step 4: Simplify right side
    6,328.62x = 30,868,771.14
  5. Step 5: Solve for x
    x = 30,868,771.14/6,328.62
  6. Step 6: Final answer
    x = 4,877.65

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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.