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Finding the Fourth Proportional to 6,714.90, 10,080.45 and 6,666.30

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Solution

The fourth proportional to 6,714.90, 10,080.45 and 6,666.30 is: 10,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.90 : 10,080.45 = 6,666.30 : x
  2. Step 2: Convert to fraction form
    6,714.90/10,080.45 = 6,666.30/x
  3. Step 3: Cross multiply
    6,714.90x = 10,080.45 × 6,666.30
  4. Step 4: Simplify right side
    6,714.90x = 67,199,303.84
  5. Step 5: Solve for x
    x = 67,199,303.84/6,714.90
  6. Step 6: Final answer
    x = 10,007.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.