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Finding the Fourth Proportional to 6,602, 9,904.04 and 3,138.08

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Solution

The fourth proportional to 6,602, 9,904.04 and 3,138.08 is: 4,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602 : 9,904.04 = 3,138.08 : x
  2. Step 2: Convert to fraction form
    6,602/9,904.04 = 3,138.08/x
  3. Step 3: Cross multiply
    6,602x = 9,904.04 × 3,138.08
  4. Step 4: Simplify right side
    6,602x = 31,079,669.84
  5. Step 5: Solve for x
    x = 31,079,669.84/6,602
  6. Step 6: Final answer
    x = 4,707.61

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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.