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Finding the Fourth Proportional to 12,453.44, 17,184 and 6,864.80

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Solution

The fourth proportional to 12,453.44, 17,184 and 6,864.80 is: 9,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.44 : 17,184 = 6,864.80 : x
  2. Step 2: Convert to fraction form
    12,453.44/17,184 = 6,864.80/x
  3. Step 3: Cross multiply
    12,453.44x = 17,184 × 6,864.80
  4. Step 4: Simplify right side
    12,453.44x = 117,964,723.20
  5. Step 5: Solve for x
    x = 117,964,723.20/12,453.44
  6. Step 6: Final answer
    x = 9,472.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.