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Finding the Fourth Proportional to 7,031.04, 9,682.56 and 7,008

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Solution

The fourth proportional to 7,031.04, 9,682.56 and 7,008 is: 9,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.04 : 9,682.56 = 7,008 : x
  2. Step 2: Convert to fraction form
    7,031.04/9,682.56 = 7,008/x
  3. Step 3: Cross multiply
    7,031.04x = 9,682.56 × 7,008
  4. Step 4: Simplify right side
    7,031.04x = 67,855,380.48
  5. Step 5: Solve for x
    x = 67,855,380.48/7,031.04
  6. Step 6: Final answer
    x = 9,650.83

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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.