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Finding the Fourth Proportional to 9,314.57, 13,974.14 and 7,651.51

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Solution

The fourth proportional to 9,314.57, 13,974.14 and 7,651.51 is: 11,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.57 : 13,974.14 = 7,651.51 : x
  2. Step 2: Convert to fraction form
    9,314.57/13,974.14 = 7,651.51/x
  3. Step 3: Cross multiply
    9,314.57x = 13,974.14 × 7,651.51
  4. Step 4: Simplify right side
    9,314.57x = 106,923,256.14
  5. Step 5: Solve for x
    x = 106,923,256.14/9,314.57
  6. Step 6: Final answer
    x = 11,479.14

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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.