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Finding the Fourth Proportional to 16,643.44, 24,970.56 and 6,256

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Solution

The fourth proportional to 16,643.44, 24,970.56 and 6,256 is: 9,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.44 : 24,970.56 = 6,256 : x
  2. Step 2: Convert to fraction form
    16,643.44/24,970.56 = 6,256/x
  3. Step 3: Cross multiply
    16,643.44x = 24,970.56 × 6,256
  4. Step 4: Simplify right side
    16,643.44x = 156,215,823.36
  5. Step 5: Solve for x
    x = 156,215,823.36/16,643.44
  6. Step 6: Final answer
    x = 9,386.03

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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.