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Finding the Fourth Proportional to 25,978.46, 38,967.69 and 6,257.00

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Solution

The fourth proportional to 25,978.46, 38,967.69 and 6,257.00 is: 9,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.46 : 38,967.69 = 6,257.00 : x
  2. Step 2: Convert to fraction form
    25,978.46/38,967.69 = 6,257.00/x
  3. Step 3: Cross multiply
    25,978.46x = 38,967.69 × 6,257.00
  4. Step 4: Simplify right side
    25,978.46x = 243,820,933.75
  5. Step 5: Solve for x
    x = 243,820,933.75/25,978.46
  6. Step 6: Final answer
    x = 9,385.51

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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.