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Finding the Fourth Proportional to 6,328.80, 8,733.12 and 3,534.24

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Solution

The fourth proportional to 6,328.80, 8,733.12 and 3,534.24 is: 4,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.80 : 8,733.12 = 3,534.24 : x
  2. Step 2: Convert to fraction form
    6,328.80/8,733.12 = 3,534.24/x
  3. Step 3: Cross multiply
    6,328.80x = 8,733.12 × 3,534.24
  4. Step 4: Simplify right side
    6,328.80x = 30,864,942.03
  5. Step 5: Solve for x
    x = 30,864,942.03/6,328.80
  6. Step 6: Final answer
    x = 4,876.90

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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.