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Finding the Fourth Proportional to 6,353.43, 9,530.59 and 1,971.22

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Solution

The fourth proportional to 6,353.43, 9,530.59 and 1,971.22 is: 2,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.43 : 9,530.59 = 1,971.22 : x
  2. Step 2: Convert to fraction form
    6,353.43/9,530.59 = 1,971.22/x
  3. Step 3: Cross multiply
    6,353.43x = 9,530.59 × 1,971.22
  4. Step 4: Simplify right side
    6,353.43x = 18,786,889.62
  5. Step 5: Solve for x
    x = 18,786,889.62/6,353.43
  6. Step 6: Final answer
    x = 2,956.97

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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.