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Finding the Fourth Proportional to 12,896.66, 17,796.30 and 7,153.76

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Solution

The fourth proportional to 12,896.66, 17,796.30 and 7,153.76 is: 9,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.66 : 17,796.30 = 7,153.76 : x
  2. Step 2: Convert to fraction form
    12,896.66/17,796.30 = 7,153.76/x
  3. Step 3: Cross multiply
    12,896.66x = 17,796.30 × 7,153.76
  4. Step 4: Simplify right side
    12,896.66x = 127,310,459.09
  5. Step 5: Solve for x
    x = 127,310,459.09/12,896.66
  6. Step 6: Final answer
    x = 9,871.58

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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.