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Finding the Fourth Proportional to 24,694.10, 37,049.79 and 7,164.98

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Solution

The fourth proportional to 24,694.10, 37,049.79 and 7,164.98 is: 10,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.10 : 37,049.79 = 7,164.98 : x
  2. Step 2: Convert to fraction form
    24,694.10/37,049.79 = 7,164.98/x
  3. Step 3: Cross multiply
    24,694.10x = 37,049.79 × 7,164.98
  4. Step 4: Simplify right side
    24,694.10x = 265,461,004.35
  5. Step 5: Solve for x
    x = 265,461,004.35/24,694.10
  6. Step 6: Final answer
    x = 10,749.98

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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.