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Finding the Fourth Proportional to 6,710.94, 10,069.50 and 3,014.16

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Solution

The fourth proportional to 6,710.94, 10,069.50 and 3,014.16 is: 4,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.94 : 10,069.50 = 3,014.16 : x
  2. Step 2: Convert to fraction form
    6,710.94/10,069.50 = 3,014.16/x
  3. Step 3: Cross multiply
    6,710.94x = 10,069.50 × 3,014.16
  4. Step 4: Simplify right side
    6,710.94x = 30,351,084.12
  5. Step 5: Solve for x
    x = 30,351,084.12/6,710.94
  6. Step 6: Final answer
    x = 4,522.63

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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.