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Finding the Fourth Proportional to 8,297.86, 11,447.30 and 5,464.48

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Solution

The fourth proportional to 8,297.86, 11,447.30 and 5,464.48 is: 7,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.86 : 11,447.30 = 5,464.48 : x
  2. Step 2: Convert to fraction form
    8,297.86/11,447.30 = 5,464.48/x
  3. Step 3: Cross multiply
    8,297.86x = 11,447.30 × 5,464.48
  4. Step 4: Simplify right side
    8,297.86x = 62,553,541.90
  5. Step 5: Solve for x
    x = 62,553,541.90/8,297.86
  6. Step 6: Final answer
    x = 7,538.51

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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.