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Finding the Fourth Proportional to 6,602.62, 9,904.23 and 3,678.72

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Solution

The fourth proportional to 6,602.62, 9,904.23 and 3,678.72 is: 5,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.62 : 9,904.23 = 3,678.72 : x
  2. Step 2: Convert to fraction form
    6,602.62/9,904.23 = 3,678.72/x
  3. Step 3: Cross multiply
    6,602.62x = 9,904.23 × 3,678.72
  4. Step 4: Simplify right side
    6,602.62x = 36,434,888.99
  5. Step 5: Solve for x
    x = 36,434,888.99/6,602.62
  6. Step 6: Final answer
    x = 5,518.25

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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.