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Finding the Fourth Proportional to 25,218, 37,827 and 6,750

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Solution

The fourth proportional to 25,218, 37,827 and 6,750 is: 10,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 37,827 = 6,750 : x
  2. Step 2: Convert to fraction form
    25,218/37,827 = 6,750/x
  3. Step 3: Cross multiply
    25,218x = 37,827 × 6,750
  4. Step 4: Simplify right side
    25,218x = 255,332,250
  5. Step 5: Solve for x
    x = 255,332,250/25,218
  6. Step 6: Final answer
    x = 10,125

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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.