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Finding the Fourth Proportional to 8,296.17, 12,410.07 and 7,566.27

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Solution

The fourth proportional to 8,296.17, 12,410.07 and 7,566.27 is: 11,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.17 : 12,410.07 = 7,566.27 : x
  2. Step 2: Convert to fraction form
    8,296.17/12,410.07 = 7,566.27/x
  3. Step 3: Cross multiply
    8,296.17x = 12,410.07 × 7,566.27
  4. Step 4: Simplify right side
    8,296.17x = 93,897,940.34
  5. Step 5: Solve for x
    x = 93,897,940.34/8,296.17
  6. Step 6: Final answer
    x = 11,318.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.