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Finding the Fourth Proportional to 8,030.14, 11,964.73 and 7,157.14

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Solution

The fourth proportional to 8,030.14, 11,964.73 and 7,157.14 is: 10,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.14 : 11,964.73 = 7,157.14 : x
  2. Step 2: Convert to fraction form
    8,030.14/11,964.73 = 7,157.14/x
  3. Step 3: Cross multiply
    8,030.14x = 11,964.73 × 7,157.14
  4. Step 4: Simplify right side
    8,030.14x = 85,633,211.89
  5. Step 5: Solve for x
    x = 85,633,211.89/8,030.14
  6. Step 6: Final answer
    x = 10,663.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.