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Finding the Fourth Proportional to 8,393.83, 11,575.46 and 6,400.92

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Solution

The fourth proportional to 8,393.83, 11,575.46 and 6,400.92 is: 8,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.83 : 11,575.46 = 6,400.92 : x
  2. Step 2: Convert to fraction form
    8,393.83/11,575.46 = 6,400.92/x
  3. Step 3: Cross multiply
    8,393.83x = 11,575.46 × 6,400.92
  4. Step 4: Simplify right side
    8,393.83x = 74,093,616.83
  5. Step 5: Solve for x
    x = 74,093,616.83/8,393.83
  6. Step 6: Final answer
    x = 8,827.16

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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.