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Finding the Fourth Proportional to 6,664.38, 9,200.43 and 4,858.35

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Solution

The fourth proportional to 6,664.38, 9,200.43 and 4,858.35 is: 6,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.38 : 9,200.43 = 4,858.35 : x
  2. Step 2: Convert to fraction form
    6,664.38/9,200.43 = 4,858.35/x
  3. Step 3: Cross multiply
    6,664.38x = 9,200.43 × 4,858.35
  4. Step 4: Simplify right side
    6,664.38x = 44,698,909.09
  5. Step 5: Solve for x
    x = 44,698,909.09/6,664.38
  6. Step 6: Final answer
    x = 6,707.14

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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.