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Finding the Fourth Proportional to 17,214.30, 25,824.14 and 7,353.64

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Solution

The fourth proportional to 17,214.30, 25,824.14 and 7,353.64 is: 11,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.30 : 25,824.14 = 7,353.64 : x
  2. Step 2: Convert to fraction form
    17,214.30/25,824.14 = 7,353.64/x
  3. Step 3: Cross multiply
    17,214.30x = 25,824.14 × 7,353.64
  4. Step 4: Simplify right side
    17,214.30x = 189,901,428.87
  5. Step 5: Solve for x
    x = 189,901,428.87/17,214.30
  6. Step 6: Final answer
    x = 11,031.61

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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.