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Finding the Fourth Proportional to 9,314.56, 13,960.64 and 4,114.56

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Solution

The fourth proportional to 9,314.56, 13,960.64 and 4,114.56 is: 6,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.56 : 13,960.64 = 4,114.56 : x
  2. Step 2: Convert to fraction form
    9,314.56/13,960.64 = 4,114.56/x
  3. Step 3: Cross multiply
    9,314.56x = 13,960.64 × 4,114.56
  4. Step 4: Simplify right side
    9,314.56x = 57,441,890.92
  5. Step 5: Solve for x
    x = 57,441,890.92/9,314.56
  6. Step 6: Final answer
    x = 6,166.89

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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.