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Finding the Fourth Proportional to 8,095.44, 11,131.32 and 6,914.40

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Solution

The fourth proportional to 8,095.44, 11,131.32 and 6,914.40 is: 9,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.44 : 11,131.32 = 6,914.40 : x
  2. Step 2: Convert to fraction form
    8,095.44/11,131.32 = 6,914.40/x
  3. Step 3: Cross multiply
    8,095.44x = 11,131.32 × 6,914.40
  4. Step 4: Simplify right side
    8,095.44x = 76,966,399.01
  5. Step 5: Solve for x
    x = 76,966,399.01/8,095.44
  6. Step 6: Final answer
    x = 9,507.38

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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.