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Finding the Fourth Proportional to 8,685, 11,985.39 and 4,706.15

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Solution

The fourth proportional to 8,685, 11,985.39 and 4,706.15 is: 6,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 11,985.39 = 4,706.15 : x
  2. Step 2: Convert to fraction form
    8,685/11,985.39 = 4,706.15/x
  3. Step 3: Cross multiply
    8,685x = 11,985.39 × 4,706.15
  4. Step 4: Simplify right side
    8,685x = 56,404,983.22
  5. Step 5: Solve for x
    x = 56,404,983.22/8,685
  6. Step 6: Final answer
    x = 6,494.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.