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Finding the Fourth Proportional to 10,674.70, 14,736.45 and 7,323.70

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Solution

The fourth proportional to 10,674.70, 14,736.45 and 7,323.70 is: 10,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.70 : 14,736.45 = 7,323.70 : x
  2. Step 2: Convert to fraction form
    10,674.70/14,736.45 = 7,323.70/x
  3. Step 3: Cross multiply
    10,674.70x = 14,736.45 × 7,323.70
  4. Step 4: Simplify right side
    10,674.70x = 107,925,338.87
  5. Step 5: Solve for x
    x = 107,925,338.87/10,674.70
  6. Step 6: Final answer
    x = 10,110.39

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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.