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Finding the Fourth Proportional to 7,462.86, 11,178.08 and 7,255.50

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Solution

The fourth proportional to 7,462.86, 11,178.08 and 7,255.50 is: 10,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.86 : 11,178.08 = 7,255.50 : x
  2. Step 2: Convert to fraction form
    7,462.86/11,178.08 = 7,255.50/x
  3. Step 3: Cross multiply
    7,462.86x = 11,178.08 × 7,255.50
  4. Step 4: Simplify right side
    7,462.86x = 81,102,559.44
  5. Step 5: Solve for x
    x = 81,102,559.44/7,462.86
  6. Step 6: Final answer
    x = 10,867.49

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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.