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Finding the Fourth Proportional to 6,093.66, 8,409.40 and 3,737.10

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Solution

The fourth proportional to 6,093.66, 8,409.40 and 3,737.10 is: 5,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.66 : 8,409.40 = 3,737.10 : x
  2. Step 2: Convert to fraction form
    6,093.66/8,409.40 = 3,737.10/x
  3. Step 3: Cross multiply
    6,093.66x = 8,409.40 × 3,737.10
  4. Step 4: Simplify right side
    6,093.66x = 31,426,717.35
  5. Step 5: Solve for x
    x = 31,426,717.35/6,093.66
  6. Step 6: Final answer
    x = 5,157.29

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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.