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Finding the Fourth Proportional to 24,957, 37,435.50 and 6,489

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Solution

The fourth proportional to 24,957, 37,435.50 and 6,489 is: 9,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957 : 37,435.50 = 6,489 : x
  2. Step 2: Convert to fraction form
    24,957/37,435.50 = 6,489/x
  3. Step 3: Cross multiply
    24,957x = 37,435.50 × 6,489
  4. Step 4: Simplify right side
    24,957x = 242,918,959.50
  5. Step 5: Solve for x
    x = 242,918,959.50/24,957
  6. Step 6: Final answer
    x = 9,733.50

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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.