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Finding the Fourth Proportional to 25,435, 38,152.77 and 6,967

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Solution

The fourth proportional to 25,435, 38,152.77 and 6,967 is: 10,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435 : 38,152.77 = 6,967 : x
  2. Step 2: Convert to fraction form
    25,435/38,152.77 = 6,967/x
  3. Step 3: Cross multiply
    25,435x = 38,152.77 × 6,967
  4. Step 4: Simplify right side
    25,435x = 265,810,348.59
  5. Step 5: Solve for x
    x = 265,810,348.59/25,435
  6. Step 6: Final answer
    x = 10,450.57

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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.