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Finding the Fourth Proportional to 25,149.63, 37,724.42 and 6,429.68

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Solution

The fourth proportional to 25,149.63, 37,724.42 and 6,429.68 is: 9,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.63 : 37,724.42 = 6,429.68 : x
  2. Step 2: Convert to fraction form
    25,149.63/37,724.42 = 6,429.68/x
  3. Step 3: Cross multiply
    25,149.63x = 37,724.42 × 6,429.68
  4. Step 4: Simplify right side
    25,149.63x = 242,555,916.64
  5. Step 5: Solve for x
    x = 242,555,916.64/25,149.63
  6. Step 6: Final answer
    x = 9,644.51

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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.