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Finding the Fourth Proportional to 9,668.34, 14,502.51 and 8,203.86

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Solution

The fourth proportional to 9,668.34, 14,502.51 and 8,203.86 is: 12,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.34 : 14,502.51 = 8,203.86 : x
  2. Step 2: Convert to fraction form
    9,668.34/14,502.51 = 8,203.86/x
  3. Step 3: Cross multiply
    9,668.34x = 14,502.51 × 8,203.86
  4. Step 4: Simplify right side
    9,668.34x = 118,976,561.69
  5. Step 5: Solve for x
    x = 118,976,561.69/9,668.34
  6. Step 6: Final answer
    x = 12,305.79

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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.