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Finding the Fourth Proportional to 11,742.93, 17,630.03 and 6,816.11

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Solution

The fourth proportional to 11,742.93, 17,630.03 and 6,816.11 is: 10,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.93 : 17,630.03 = 6,816.11 : x
  2. Step 2: Convert to fraction form
    11,742.93/17,630.03 = 6,816.11/x
  3. Step 3: Cross multiply
    11,742.93x = 17,630.03 × 6,816.11
  4. Step 4: Simplify right side
    11,742.93x = 120,168,101.55
  5. Step 5: Solve for x
    x = 120,168,101.55/11,742.93
  6. Step 6: Final answer
    x = 10,233.23

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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.