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Finding the Fourth Proportional to 7,796.23, 11,699.81 and 7,107.32

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Solution

The fourth proportional to 7,796.23, 11,699.81 and 7,107.32 is: 10,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.23 : 11,699.81 = 7,107.32 : x
  2. Step 2: Convert to fraction form
    7,796.23/11,699.81 = 7,107.32/x
  3. Step 3: Cross multiply
    7,796.23x = 11,699.81 × 7,107.32
  4. Step 4: Simplify right side
    7,796.23x = 83,154,293.61
  5. Step 5: Solve for x
    x = 83,154,293.61/7,796.23
  6. Step 6: Final answer
    x = 10,665.96

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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.