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Finding the Fourth Proportional to 11,674, 16,104.56 and 7,898.48

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Solution

The fourth proportional to 11,674, 16,104.56 and 7,898.48 is: 10,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674 : 16,104.56 = 7,898.48 : x
  2. Step 2: Convert to fraction form
    11,674/16,104.56 = 7,898.48/x
  3. Step 3: Cross multiply
    11,674x = 16,104.56 × 7,898.48
  4. Step 4: Simplify right side
    11,674x = 127,201,545.07
  5. Step 5: Solve for x
    x = 127,201,545.07/11,674
  6. Step 6: Final answer
    x = 10,896.14

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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.