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Finding the Fourth Proportional to 10,662.38, 14,714.08 and 5,946.66

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Solution

The fourth proportional to 10,662.38, 14,714.08 and 5,946.66 is: 8,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.38 : 14,714.08 = 5,946.66 : x
  2. Step 2: Convert to fraction form
    10,662.38/14,714.08 = 5,946.66/x
  3. Step 3: Cross multiply
    10,662.38x = 14,714.08 × 5,946.66
  4. Step 4: Simplify right side
    10,662.38x = 87,499,616.11
  5. Step 5: Solve for x
    x = 87,499,616.11/10,662.38
  6. Step 6: Final answer
    x = 8,206.39

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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.