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Finding the Fourth Proportional to 7,549.01, 11,311.97 and 3,164.07

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Solution

The fourth proportional to 7,549.01, 11,311.97 and 3,164.07 is: 4,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.01 : 11,311.97 = 3,164.07 : x
  2. Step 2: Convert to fraction form
    7,549.01/11,311.97 = 3,164.07/x
  3. Step 3: Cross multiply
    7,549.01x = 11,311.97 × 3,164.07
  4. Step 4: Simplify right side
    7,549.01x = 35,791,891.52
  5. Step 5: Solve for x
    x = 35,791,891.52/7,549.01
  6. Step 6: Final answer
    x = 4,741.27

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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.