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Finding the Fourth Proportional to 9,751.43, 14,618.16 and 3,174.23

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Solution

The fourth proportional to 9,751.43, 14,618.16 and 3,174.23 is: 4,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.43 : 14,618.16 = 3,174.23 : x
  2. Step 2: Convert to fraction form
    9,751.43/14,618.16 = 3,174.23/x
  3. Step 3: Cross multiply
    9,751.43x = 14,618.16 × 3,174.23
  4. Step 4: Simplify right side
    9,751.43x = 46,401,328.93
  5. Step 5: Solve for x
    x = 46,401,328.93/9,751.43
  6. Step 6: Final answer
    x = 4,758.42

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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.