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Finding the Fourth Proportional to 12,304.62, 16,973.91 and 8,327.07

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Solution

The fourth proportional to 12,304.62, 16,973.91 and 8,327.07 is: 11,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.62 : 16,973.91 = 8,327.07 : x
  2. Step 2: Convert to fraction form
    12,304.62/16,973.91 = 8,327.07/x
  3. Step 3: Cross multiply
    12,304.62x = 16,973.91 × 8,327.07
  4. Step 4: Simplify right side
    12,304.62x = 141,342,936.74
  5. Step 5: Solve for x
    x = 141,342,936.74/12,304.62
  6. Step 6: Final answer
    x = 11,486.98

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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.