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Finding the Fourth Proportional to 9,512.10, 14,267.07 and 3,668.22

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Solution

The fourth proportional to 9,512.10, 14,267.07 and 3,668.22 is: 5,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.10 : 14,267.07 = 3,668.22 : x
  2. Step 2: Convert to fraction form
    9,512.10/14,267.07 = 3,668.22/x
  3. Step 3: Cross multiply
    9,512.10x = 14,267.07 × 3,668.22
  4. Step 4: Simplify right side
    9,512.10x = 52,334,751.52
  5. Step 5: Solve for x
    x = 52,334,751.52/9,512.10
  6. Step 6: Final answer
    x = 5,501.91

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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.