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Finding the Fourth Proportional to 7,133.56, 10,740.01 and 6,181

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Solution

The fourth proportional to 7,133.56, 10,740.01 and 6,181 is: 9,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.56 : 10,740.01 = 6,181 : x
  2. Step 2: Convert to fraction form
    7,133.56/10,740.01 = 6,181/x
  3. Step 3: Cross multiply
    7,133.56x = 10,740.01 × 6,181
  4. Step 4: Simplify right side
    7,133.56x = 66,384,001.81
  5. Step 5: Solve for x
    x = 66,384,001.81/7,133.56
  6. Step 6: Final answer
    x = 9,305.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.