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Finding the Fourth Proportional to 10,996.70, 16,498.71 and 7,313.45

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Solution

The fourth proportional to 10,996.70, 16,498.71 and 7,313.45 is: 10,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.70 : 16,498.71 = 7,313.45 : x
  2. Step 2: Convert to fraction form
    10,996.70/16,498.71 = 7,313.45/x
  3. Step 3: Cross multiply
    10,996.70x = 16,498.71 × 7,313.45
  4. Step 4: Simplify right side
    10,996.70x = 120,662,408.16
  5. Step 5: Solve for x
    x = 120,662,408.16/10,996.70
  6. Step 6: Final answer
    x = 10,972.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.