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Finding the Fourth Proportional to 24,933, 37,401.66 and 6,465

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Solution

The fourth proportional to 24,933, 37,401.66 and 6,465 is: 9,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933 : 37,401.66 = 6,465 : x
  2. Step 2: Convert to fraction form
    24,933/37,401.66 = 6,465/x
  3. Step 3: Cross multiply
    24,933x = 37,401.66 × 6,465
  4. Step 4: Simplify right side
    24,933x = 241,801,731.90
  5. Step 5: Solve for x
    x = 241,801,731.90/24,933
  6. Step 6: Final answer
    x = 9,698.06

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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.