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Finding the Fourth Proportional to 12,032, 16,604.48 and 6,727.72

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Solution

The fourth proportional to 12,032, 16,604.48 and 6,727.72 is: 9,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032 : 16,604.48 = 6,727.72 : x
  2. Step 2: Convert to fraction form
    12,032/16,604.48 = 6,727.72/x
  3. Step 3: Cross multiply
    12,032x = 16,604.48 × 6,727.72
  4. Step 4: Simplify right side
    12,032x = 111,710,292.19
  5. Step 5: Solve for x
    x = 111,710,292.19/12,032
  6. Step 6: Final answer
    x = 9,284.43

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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.