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Finding the Fourth Proportional to 6,415.39, 9,623.09 and 4,671.49

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Solution

The fourth proportional to 6,415.39, 9,623.09 and 4,671.49 is: 7,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.39 : 9,623.09 = 4,671.49 : x
  2. Step 2: Convert to fraction form
    6,415.39/9,623.09 = 4,671.49/x
  3. Step 3: Cross multiply
    6,415.39x = 9,623.09 × 4,671.49
  4. Step 4: Simplify right side
    6,415.39x = 44,954,184.18
  5. Step 5: Solve for x
    x = 44,954,184.18/6,415.39
  6. Step 6: Final answer
    x = 7,007.24

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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.