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Finding the Fourth Proportional to 11,696.25, 16,141.10 and 7,223.07

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Solution

The fourth proportional to 11,696.25, 16,141.10 and 7,223.07 is: 9,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.25 : 16,141.10 = 7,223.07 : x
  2. Step 2: Convert to fraction form
    11,696.25/16,141.10 = 7,223.07/x
  3. Step 3: Cross multiply
    11,696.25x = 16,141.10 × 7,223.07
  4. Step 4: Simplify right side
    11,696.25x = 116,588,259.06
  5. Step 5: Solve for x
    x = 116,588,259.06/11,696.25
  6. Step 6: Final answer
    x = 9,968.00

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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.