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Finding the Fourth Proportional to 6,212, 9,318 and 1,595

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Solution

The fourth proportional to 6,212, 9,318 and 1,595 is: 2,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212 : 9,318 = 1,595 : x
  2. Step 2: Convert to fraction form
    6,212/9,318 = 1,595/x
  3. Step 3: Cross multiply
    6,212x = 9,318 × 1,595
  4. Step 4: Simplify right side
    6,212x = 14,862,210
  5. Step 5: Solve for x
    x = 14,862,210/6,212
  6. Step 6: Final answer
    x = 2,392.50

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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.