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Finding the Fourth Proportional to 8,520.54, 11,753.64 and 7,967.22

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Solution

The fourth proportional to 8,520.54, 11,753.64 and 7,967.22 is: 10,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.54 : 11,753.64 = 7,967.22 : x
  2. Step 2: Convert to fraction form
    8,520.54/11,753.64 = 7,967.22/x
  3. Step 3: Cross multiply
    8,520.54x = 11,753.64 × 7,967.22
  4. Step 4: Simplify right side
    8,520.54x = 93,643,835.68
  5. Step 5: Solve for x
    x = 93,643,835.68/8,520.54
  6. Step 6: Final answer
    x = 10,990.36

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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.