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Finding the Fourth Proportional to 6,242.49, 8,614.70 and 3,409.94

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Solution

The fourth proportional to 6,242.49, 8,614.70 and 3,409.94 is: 4,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.49 : 8,614.70 = 3,409.94 : x
  2. Step 2: Convert to fraction form
    6,242.49/8,614.70 = 3,409.94/x
  3. Step 3: Cross multiply
    6,242.49x = 8,614.70 × 3,409.94
  4. Step 4: Simplify right side
    6,242.49x = 29,375,549.99
  5. Step 5: Solve for x
    x = 29,375,549.99/6,242.49
  6. Step 6: Final answer
    x = 4,705.74

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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.