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Finding the Fourth Proportional to 6,502.66, 8,975.94 and 4,144.34

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Solution

The fourth proportional to 6,502.66, 8,975.94 and 4,144.34 is: 5,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.66 : 8,975.94 = 4,144.34 : x
  2. Step 2: Convert to fraction form
    6,502.66/8,975.94 = 4,144.34/x
  3. Step 3: Cross multiply
    6,502.66x = 8,975.94 × 4,144.34
  4. Step 4: Simplify right side
    6,502.66x = 37,199,347.18
  5. Step 5: Solve for x
    x = 37,199,347.18/6,502.66
  6. Step 6: Final answer
    x = 5,720.64

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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.