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Finding the Fourth Proportional to 16,976, 25,470.48 and 6,588.56

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Solution

The fourth proportional to 16,976, 25,470.48 and 6,588.56 is: 9,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976 : 25,470.48 = 6,588.56 : x
  2. Step 2: Convert to fraction form
    16,976/25,470.48 = 6,588.56/x
  3. Step 3: Cross multiply
    16,976x = 25,470.48 × 6,588.56
  4. Step 4: Simplify right side
    16,976x = 167,813,785.71
  5. Step 5: Solve for x
    x = 167,813,785.71/16,976
  6. Step 6: Final answer
    x = 9,885.35

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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.