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Finding the Fourth Proportional to 10,691.84, 16,097.18 and 9,263

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Solution

The fourth proportional to 10,691.84, 16,097.18 and 9,263 is: 13,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.84 : 16,097.18 = 9,263 : x
  2. Step 2: Convert to fraction form
    10,691.84/16,097.18 = 9,263/x
  3. Step 3: Cross multiply
    10,691.84x = 16,097.18 × 9,263
  4. Step 4: Simplify right side
    10,691.84x = 149,108,178.34
  5. Step 5: Solve for x
    x = 149,108,178.34/10,691.84
  6. Step 6: Final answer
    x = 13,945.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.