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Finding the Fourth Proportional to 10,662.70, 14,714.22 and 5,946.88

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Solution

The fourth proportional to 10,662.70, 14,714.22 and 5,946.88 is: 8,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.70 : 14,714.22 = 5,946.88 : x
  2. Step 2: Convert to fraction form
    10,662.70/14,714.22 = 5,946.88/x
  3. Step 3: Cross multiply
    10,662.70x = 14,714.22 × 5,946.88
  4. Step 4: Simplify right side
    10,662.70x = 87,503,700.63
  5. Step 5: Solve for x
    x = 87,503,700.63/10,662.70
  6. Step 6: Final answer
    x = 8,206.52

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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.