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Finding the Fourth Proportional to 10,662.56, 14,715.20 and 5,947.20

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Solution

The fourth proportional to 10,662.56, 14,715.20 and 5,947.20 is: 8,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.56 : 14,715.20 = 5,947.20 : x
  2. Step 2: Convert to fraction form
    10,662.56/14,715.20 = 5,947.20/x
  3. Step 3: Cross multiply
    10,662.56x = 14,715.20 × 5,947.20
  4. Step 4: Simplify right side
    10,662.56x = 87,514,237.44
  5. Step 5: Solve for x
    x = 87,514,237.44/10,662.56
  6. Step 6: Final answer
    x = 8,207.62

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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.