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Finding the Fourth Proportional to 9,207.66, 13,812.30 and 2,968.22

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Solution

The fourth proportional to 9,207.66, 13,812.30 and 2,968.22 is: 4,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.66 : 13,812.30 = 2,968.22 : x
  2. Step 2: Convert to fraction form
    9,207.66/13,812.30 = 2,968.22/x
  3. Step 3: Cross multiply
    9,207.66x = 13,812.30 × 2,968.22
  4. Step 4: Simplify right side
    9,207.66x = 40,997,945.11
  5. Step 5: Solve for x
    x = 40,997,945.11/9,207.66
  6. Step 6: Final answer
    x = 4,452.59

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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.