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Finding the Fourth Proportional to 13,048.16, 19,546.31 and 6,454.22

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Solution

The fourth proportional to 13,048.16, 19,546.31 and 6,454.22 is: 9,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.16 : 19,546.31 = 6,454.22 : x
  2. Step 2: Convert to fraction form
    13,048.16/19,546.31 = 6,454.22/x
  3. Step 3: Cross multiply
    13,048.16x = 19,546.31 × 6,454.22
  4. Step 4: Simplify right side
    13,048.16x = 126,156,184.93
  5. Step 5: Solve for x
    x = 126,156,184.93/13,048.16
  6. Step 6: Final answer
    x = 9,668.50

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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.