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Finding the Fourth Proportional to 7,063.14, 10,594.68 and 1,869

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Solution

The fourth proportional to 7,063.14, 10,594.68 and 1,869 is: 2,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.14 : 10,594.68 = 1,869 : x
  2. Step 2: Convert to fraction form
    7,063.14/10,594.68 = 1,869/x
  3. Step 3: Cross multiply
    7,063.14x = 10,594.68 × 1,869
  4. Step 4: Simplify right side
    7,063.14x = 19,801,456.92
  5. Step 5: Solve for x
    x = 19,801,456.92/7,063.14
  6. Step 6: Final answer
    x = 2,803.49

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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.