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Finding the Fourth Proportional to 10,093.68, 13,928.04 and 6,114.24

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Solution

The fourth proportional to 10,093.68, 13,928.04 and 6,114.24 is: 8,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.68 : 13,928.04 = 6,114.24 : x
  2. Step 2: Convert to fraction form
    10,093.68/13,928.04 = 6,114.24/x
  3. Step 3: Cross multiply
    10,093.68x = 13,928.04 × 6,114.24
  4. Step 4: Simplify right side
    10,093.68x = 85,159,379.29
  5. Step 5: Solve for x
    x = 85,159,379.29/10,093.68
  6. Step 6: Final answer
    x = 8,436.90

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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.