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Finding the Fourth Proportional to 7,014, 10,522.08 and 2,084.12

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Solution

The fourth proportional to 7,014, 10,522.08 and 2,084.12 is: 3,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 10,522.08 = 2,084.12 : x
  2. Step 2: Convert to fraction form
    7,014/10,522.08 = 2,084.12/x
  3. Step 3: Cross multiply
    7,014x = 10,522.08 × 2,084.12
  4. Step 4: Simplify right side
    7,014x = 21,929,277.37
  5. Step 5: Solve for x
    x = 21,929,277.37/7,014
  6. Step 6: Final answer
    x = 3,126.50

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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.