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Finding the Fourth Proportional to 24,739, 37,110.66 and 6,271

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Solution

The fourth proportional to 24,739, 37,110.66 and 6,271 is: 9,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739 : 37,110.66 = 6,271 : x
  2. Step 2: Convert to fraction form
    24,739/37,110.66 = 6,271/x
  3. Step 3: Cross multiply
    24,739x = 37,110.66 × 6,271
  4. Step 4: Simplify right side
    24,739x = 232,720,948.86
  5. Step 5: Solve for x
    x = 232,720,948.86/24,739
  6. Step 6: Final answer
    x = 9,407.05

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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.