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Finding the Fourth Proportional to 8,126.65, 12,194.84 and 7,465.69

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Solution

The fourth proportional to 8,126.65, 12,194.84 and 7,465.69 is: 11,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.65 : 12,194.84 = 7,465.69 : x
  2. Step 2: Convert to fraction form
    8,126.65/12,194.84 = 7,465.69/x
  3. Step 3: Cross multiply
    8,126.65x = 12,194.84 × 7,465.69
  4. Step 4: Simplify right side
    8,126.65x = 91,042,815.40
  5. Step 5: Solve for x
    x = 91,042,815.40/8,126.65
  6. Step 6: Final answer
    x = 11,203.00

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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.