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Finding the Fourth Proportional to 12,102.53, 16,699.65 and 6,796.32

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Solution

The fourth proportional to 12,102.53, 16,699.65 and 6,796.32 is: 9,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.53 : 16,699.65 = 6,796.32 : x
  2. Step 2: Convert to fraction form
    12,102.53/16,699.65 = 6,796.32/x
  3. Step 3: Cross multiply
    12,102.53x = 16,699.65 × 6,796.32
  4. Step 4: Simplify right side
    12,102.53x = 113,496,165.29
  5. Step 5: Solve for x
    x = 113,496,165.29/12,102.53
  6. Step 6: Final answer
    x = 9,377.89

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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.