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Finding the Fourth Proportional to 8,295.86, 11,444.54 and 5,462.48

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Solution

The fourth proportional to 8,295.86, 11,444.54 and 5,462.48 is: 7,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.86 : 11,444.54 = 5,462.48 : x
  2. Step 2: Convert to fraction form
    8,295.86/11,444.54 = 5,462.48/x
  3. Step 3: Cross multiply
    8,295.86x = 11,444.54 × 5,462.48
  4. Step 4: Simplify right side
    8,295.86x = 62,515,570.86
  5. Step 5: Solve for x
    x = 62,515,570.86/8,295.86
  6. Step 6: Final answer
    x = 7,535.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.