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Finding the Fourth Proportional to 6,501.11, 8,965.62 and 4,374.86

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Solution

The fourth proportional to 6,501.11, 8,965.62 and 4,374.86 is: 6,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.11 : 8,965.62 = 4,374.86 : x
  2. Step 2: Convert to fraction form
    6,501.11/8,965.62 = 4,374.86/x
  3. Step 3: Cross multiply
    6,501.11x = 8,965.62 × 4,374.86
  4. Step 4: Simplify right side
    6,501.11x = 39,223,287.49
  5. Step 5: Solve for x
    x = 39,223,287.49/6,501.11
  6. Step 6: Final answer
    x = 6,033.33

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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.