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Finding the Fourth Proportional to 11,615.91, 17,422.04 and 9,654.14

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Solution

The fourth proportional to 11,615.91, 17,422.04 and 9,654.14 is: 14,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.91 : 17,422.04 = 9,654.14 : x
  2. Step 2: Convert to fraction form
    11,615.91/17,422.04 = 9,654.14/x
  3. Step 3: Cross multiply
    11,615.91x = 17,422.04 × 9,654.14
  4. Step 4: Simplify right side
    11,615.91x = 168,194,728.63
  5. Step 5: Solve for x
    x = 168,194,728.63/11,615.91
  6. Step 6: Final answer
    x = 14,479.69

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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.