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Finding the Fourth Proportional to 16,425.44, 24,605.28 and 7,648.16

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Solution

The fourth proportional to 16,425.44, 24,605.28 and 7,648.16 is: 11,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.44 : 24,605.28 = 7,648.16 : x
  2. Step 2: Convert to fraction form
    16,425.44/24,605.28 = 7,648.16/x
  3. Step 3: Cross multiply
    16,425.44x = 24,605.28 × 7,648.16
  4. Step 4: Simplify right side
    16,425.44x = 188,185,118.28
  5. Step 5: Solve for x
    x = 188,185,118.28/16,425.44
  6. Step 6: Final answer
    x = 11,456.93

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1.5x scale

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.