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Finding the Fourth Proportional to 6,193.56, 8,549.64 and 4,618.92

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Solution

The fourth proportional to 6,193.56, 8,549.64 and 4,618.92 is: 6,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.56 : 8,549.64 = 4,618.92 : x
  2. Step 2: Convert to fraction form
    6,193.56/8,549.64 = 4,618.92/x
  3. Step 3: Cross multiply
    6,193.56x = 8,549.64 × 4,618.92
  4. Step 4: Simplify right side
    6,193.56x = 39,490,103.19
  5. Step 5: Solve for x
    x = 39,490,103.19/6,193.56
  6. Step 6: Final answer
    x = 6,375.99

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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.