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Finding the Fourth Proportional to 6,507.22, 8,971.03 and 4,115.99

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Solution

The fourth proportional to 6,507.22, 8,971.03 and 4,115.99 is: 5,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.22 : 8,971.03 = 4,115.99 : x
  2. Step 2: Convert to fraction form
    6,507.22/8,971.03 = 4,115.99/x
  3. Step 3: Cross multiply
    6,507.22x = 8,971.03 × 4,115.99
  4. Step 4: Simplify right side
    6,507.22x = 36,924,681.91
  5. Step 5: Solve for x
    x = 36,924,681.91/6,507.22
  6. Step 6: Final answer
    x = 5,674.42

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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.