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Finding the Fourth Proportional to 6,174.46, 9,262.65 and 2,069.50

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Solution

The fourth proportional to 6,174.46, 9,262.65 and 2,069.50 is: 3,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.46 : 9,262.65 = 2,069.50 : x
  2. Step 2: Convert to fraction form
    6,174.46/9,262.65 = 2,069.50/x
  3. Step 3: Cross multiply
    6,174.46x = 9,262.65 × 2,069.50
  4. Step 4: Simplify right side
    6,174.46x = 19,169,054.18
  5. Step 5: Solve for x
    x = 19,169,054.18/6,174.46
  6. Step 6: Final answer
    x = 3,104.57

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1.5x scale

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.