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Finding the Fourth Proportional to 8,165.40, 11,269.50 and 5,023.80

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Solution

The fourth proportional to 8,165.40, 11,269.50 and 5,023.80 is: 6,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.40 : 11,269.50 = 5,023.80 : x
  2. Step 2: Convert to fraction form
    8,165.40/11,269.50 = 5,023.80/x
  3. Step 3: Cross multiply
    8,165.40x = 11,269.50 × 5,023.80
  4. Step 4: Simplify right side
    8,165.40x = 56,615,714.10
  5. Step 5: Solve for x
    x = 56,615,714.10/8,165.40
  6. Step 6: Final answer
    x = 6,933.61

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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.