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Finding the Fourth Proportional to 10,662.36, 14,714.33 and 5,946.94

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Solution

The fourth proportional to 10,662.36, 14,714.33 and 5,946.94 is: 8,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.36 : 14,714.33 = 5,946.94 : x
  2. Step 2: Convert to fraction form
    10,662.36/14,714.33 = 5,946.94/x
  3. Step 3: Cross multiply
    10,662.36x = 14,714.33 × 5,946.94
  4. Step 4: Simplify right side
    10,662.36x = 87,505,237.65
  5. Step 5: Solve for x
    x = 87,505,237.65/10,662.36
  6. Step 6: Final answer
    x = 8,206.93

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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.