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Finding the Fourth Proportional to 24,942.37, 37,412.64 and 7,411.74

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Solution

The fourth proportional to 24,942.37, 37,412.64 and 7,411.74 is: 11,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.37 : 37,412.64 = 7,411.74 : x
  2. Step 2: Convert to fraction form
    24,942.37/37,412.64 = 7,411.74/x
  3. Step 3: Cross multiply
    24,942.37x = 37,412.64 × 7,411.74
  4. Step 4: Simplify right side
    24,942.37x = 277,292,760.39
  5. Step 5: Solve for x
    x = 277,292,760.39/24,942.37
  6. Step 6: Final answer
    x = 11,117.34

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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.