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Finding the Fourth Proportional to 9,668.64, 14,527.17 and 6,160.14

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Solution

The fourth proportional to 9,668.64, 14,527.17 and 6,160.14 is: 9,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.64 : 14,527.17 = 6,160.14 : x
  2. Step 2: Convert to fraction form
    9,668.64/14,527.17 = 6,160.14/x
  3. Step 3: Cross multiply
    9,668.64x = 14,527.17 × 6,160.14
  4. Step 4: Simplify right side
    9,668.64x = 89,489,401.00
  5. Step 5: Solve for x
    x = 89,489,401.00/9,668.64
  6. Step 6: Final answer
    x = 9,255.63

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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.