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Finding the Fourth Proportional to 9,180.56, 13,767 and 4,248.72

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Solution

The fourth proportional to 9,180.56, 13,767 and 4,248.72 is: 6,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.56 : 13,767 = 4,248.72 : x
  2. Step 2: Convert to fraction form
    9,180.56/13,767 = 4,248.72/x
  3. Step 3: Cross multiply
    9,180.56x = 13,767 × 4,248.72
  4. Step 4: Simplify right side
    9,180.56x = 58,492,128.24
  5. Step 5: Solve for x
    x = 58,492,128.24/9,180.56
  6. Step 6: Final answer
    x = 6,371.30

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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.