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Finding the Fourth Proportional to 6,870, 9,480.45 and 4,512

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Solution

The fourth proportional to 6,870, 9,480.45 and 4,512 is: 6,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870 : 9,480.45 = 4,512 : x
  2. Step 2: Convert to fraction form
    6,870/9,480.45 = 4,512/x
  3. Step 3: Cross multiply
    6,870x = 9,480.45 × 4,512
  4. Step 4: Simplify right side
    6,870x = 42,775,790.40
  5. Step 5: Solve for x
    x = 42,775,790.40/6,870
  6. Step 6: Final answer
    x = 6,226.46

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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.