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Finding the Fourth Proportional to 6,937, 10,403.62 and 3,235.61

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Solution

The fourth proportional to 6,937, 10,403.62 and 3,235.61 is: 4,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937 : 10,403.62 = 3,235.61 : x
  2. Step 2: Convert to fraction form
    6,937/10,403.62 = 3,235.61/x
  3. Step 3: Cross multiply
    6,937x = 10,403.62 × 3,235.61
  4. Step 4: Simplify right side
    6,937x = 33,662,056.91
  5. Step 5: Solve for x
    x = 33,662,056.91/6,937
  6. Step 6: Final answer
    x = 4,852.54

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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.