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Finding the Fourth Proportional to 8,326.44, 12,496.14 and 7,809.66

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Solution

The fourth proportional to 8,326.44, 12,496.14 and 7,809.66 is: 11,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.44 : 12,496.14 = 7,809.66 : x
  2. Step 2: Convert to fraction form
    8,326.44/12,496.14 = 7,809.66/x
  3. Step 3: Cross multiply
    8,326.44x = 12,496.14 × 7,809.66
  4. Step 4: Simplify right side
    8,326.44x = 97,590,604.71
  5. Step 5: Solve for x
    x = 97,590,604.71/8,326.44
  6. Step 6: Final answer
    x = 11,720.57

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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.