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Finding the Fourth Proportional to 6,527.38, 9,004 and 4,166.86

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Solution

The fourth proportional to 6,527.38, 9,004 and 4,166.86 is: 5,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.38 : 9,004 = 4,166.86 : x
  2. Step 2: Convert to fraction form
    6,527.38/9,004 = 4,166.86/x
  3. Step 3: Cross multiply
    6,527.38x = 9,004 × 4,166.86
  4. Step 4: Simplify right side
    6,527.38x = 37,518,407.44
  5. Step 5: Solve for x
    x = 37,518,407.44/6,527.38
  6. Step 6: Final answer
    x = 5,747.85

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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.