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Finding the Fourth Proportional to 24,985, 37,479.66 and 6,517

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Solution

The fourth proportional to 24,985, 37,479.66 and 6,517 is: 9,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,985 : 37,479.66 = 6,517 : x
  2. Step 2: Convert to fraction form
    24,985/37,479.66 = 6,517/x
  3. Step 3: Cross multiply
    24,985x = 37,479.66 × 6,517
  4. Step 4: Simplify right side
    24,985x = 244,254,944.22
  5. Step 5: Solve for x
    x = 244,254,944.22/24,985
  6. Step 6: Final answer
    x = 9,776.06

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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.