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Finding the Fourth Proportional to 24,798.96, 37,201.68 and 8,153.46

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Solution

The fourth proportional to 24,798.96, 37,201.68 and 8,153.46 is: 12,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.96 : 37,201.68 = 8,153.46 : x
  2. Step 2: Convert to fraction form
    24,798.96/37,201.68 = 8,153.46/x
  3. Step 3: Cross multiply
    24,798.96x = 37,201.68 × 8,153.46
  4. Step 4: Simplify right side
    24,798.96x = 303,322,409.81
  5. Step 5: Solve for x
    x = 303,322,409.81/24,798.96
  6. Step 6: Final answer
    x = 12,231.26

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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.