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Finding the Fourth Proportional to 6,763.86, 9,346.05 and 5,205.42

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Solution

The fourth proportional to 6,763.86, 9,346.05 and 5,205.42 is: 7,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.86 : 9,346.05 = 5,205.42 : x
  2. Step 2: Convert to fraction form
    6,763.86/9,346.05 = 5,205.42/x
  3. Step 3: Cross multiply
    6,763.86x = 9,346.05 × 5,205.42
  4. Step 4: Simplify right side
    6,763.86x = 48,650,115.59
  5. Step 5: Solve for x
    x = 48,650,115.59/6,763.86
  6. Step 6: Final answer
    x = 7,192.66

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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.