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Finding the Fourth Proportional to 8,026.61, 11,051.98 and 6,829.43

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Solution

The fourth proportional to 8,026.61, 11,051.98 and 6,829.43 is: 9,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.61 : 11,051.98 = 6,829.43 : x
  2. Step 2: Convert to fraction form
    8,026.61/11,051.98 = 6,829.43/x
  3. Step 3: Cross multiply
    8,026.61x = 11,051.98 × 6,829.43
  4. Step 4: Simplify right side
    8,026.61x = 75,478,651.44
  5. Step 5: Solve for x
    x = 75,478,651.44/8,026.61
  6. Step 6: Final answer
    x = 9,403.56

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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.