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Finding the Fourth Proportional to 9,207.34, 13,840.17 and 7,924.30

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Solution

The fourth proportional to 9,207.34, 13,840.17 and 7,924.30 is: 11,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.34 : 13,840.17 = 7,924.30 : x
  2. Step 2: Convert to fraction form
    9,207.34/13,840.17 = 7,924.30/x
  3. Step 3: Cross multiply
    9,207.34x = 13,840.17 × 7,924.30
  4. Step 4: Simplify right side
    9,207.34x = 109,673,659.13
  5. Step 5: Solve for x
    x = 109,673,659.13/9,207.34
  6. Step 6: Final answer
    x = 11,911.55

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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.