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Finding the Fourth Proportional to 34,610.56, 51,914.28 and 9,650.12

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Solution

The fourth proportional to 34,610.56, 51,914.28 and 9,650.12 is: 14,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.56 : 51,914.28 = 9,650.12 : x
  2. Step 2: Convert to fraction form
    34,610.56/51,914.28 = 9,650.12/x
  3. Step 3: Cross multiply
    34,610.56x = 51,914.28 × 9,650.12
  4. Step 4: Simplify right side
    34,610.56x = 500,979,031.71
  5. Step 5: Solve for x
    x = 500,979,031.71/34,610.56
  6. Step 6: Final answer
    x = 14,474.75

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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.