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Finding the Fourth Proportional to 8,986.86, 13,462.44 and 7,141.14

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Solution

The fourth proportional to 8,986.86, 13,462.44 and 7,141.14 is: 10,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.86 : 13,462.44 = 7,141.14 : x
  2. Step 2: Convert to fraction form
    8,986.86/13,462.44 = 7,141.14/x
  3. Step 3: Cross multiply
    8,986.86x = 13,462.44 × 7,141.14
  4. Step 4: Simplify right side
    8,986.86x = 96,137,168.78
  5. Step 5: Solve for x
    x = 96,137,168.78/8,986.86
  6. Step 6: Final answer
    x = 10,697.53

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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.