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Finding the Fourth Proportional to 10,663, 14,714.62 and 6,186.45

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Solution

The fourth proportional to 10,663, 14,714.62 and 6,186.45 is: 8,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663 : 14,714.62 = 6,186.45 : x
  2. Step 2: Convert to fraction form
    10,663/14,714.62 = 6,186.45/x
  3. Step 3: Cross multiply
    10,663x = 14,714.62 × 6,186.45
  4. Step 4: Simplify right side
    10,663x = 91,031,260.90
  5. Step 5: Solve for x
    x = 91,031,260.90/10,663
  6. Step 6: Final answer
    x = 8,537.12

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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.