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Finding the Fourth Proportional to 6,572.96, 9,836.40 and 5,102.72

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Solution

The fourth proportional to 6,572.96, 9,836.40 and 5,102.72 is: 7,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.96 : 9,836.40 = 5,102.72 : x
  2. Step 2: Convert to fraction form
    6,572.96/9,836.40 = 5,102.72/x
  3. Step 3: Cross multiply
    6,572.96x = 9,836.40 × 5,102.72
  4. Step 4: Simplify right side
    6,572.96x = 50,192,395.01
  5. Step 5: Solve for x
    x = 50,192,395.01/6,572.96
  6. Step 6: Final answer
    x = 7,636.19

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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.