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Finding the Fourth Proportional to 10,965.70, 16,456.65 and 7,266.70

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Solution

The fourth proportional to 10,965.70, 16,456.65 and 7,266.70 is: 10,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.70 : 16,456.65 = 7,266.70 : x
  2. Step 2: Convert to fraction form
    10,965.70/16,456.65 = 7,266.70/x
  3. Step 3: Cross multiply
    10,965.70x = 16,456.65 × 7,266.70
  4. Step 4: Simplify right side
    10,965.70x = 119,585,538.56
  5. Step 5: Solve for x
    x = 119,585,538.56/10,965.70
  6. Step 6: Final answer
    x = 10,905.42

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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.