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Finding the Fourth Proportional to 11,656.84, 17,487.04 and 3,867.48

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Solution

The fourth proportional to 11,656.84, 17,487.04 and 3,867.48 is: 5,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.84 : 17,487.04 = 3,867.48 : x
  2. Step 2: Convert to fraction form
    11,656.84/17,487.04 = 3,867.48/x
  3. Step 3: Cross multiply
    11,656.84x = 17,487.04 × 3,867.48
  4. Step 4: Simplify right side
    11,656.84x = 67,630,777.46
  5. Step 5: Solve for x
    x = 67,630,777.46/11,656.84
  6. Step 6: Final answer
    x = 5,801.81

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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.