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Finding the Fourth Proportional to 6,038, 9,051.32 and 5,496.92

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Solution

The fourth proportional to 6,038, 9,051.32 and 5,496.92 is: 8,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038 : 9,051.32 = 5,496.92 : x
  2. Step 2: Convert to fraction form
    6,038/9,051.32 = 5,496.92/x
  3. Step 3: Cross multiply
    6,038x = 9,051.32 × 5,496.92
  4. Step 4: Simplify right side
    6,038x = 49,754,381.93
  5. Step 5: Solve for x
    x = 49,754,381.93/6,038
  6. Step 6: Final answer
    x = 8,240.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.