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Finding the Fourth Proportional to 6,527.56, 9,008 and 3,543.38

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Solution

The fourth proportional to 6,527.56, 9,008 and 3,543.38 is: 4,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.56 : 9,008 = 3,543.38 : x
  2. Step 2: Convert to fraction form
    6,527.56/9,008 = 3,543.38/x
  3. Step 3: Cross multiply
    6,527.56x = 9,008 × 3,543.38
  4. Step 4: Simplify right side
    6,527.56x = 31,918,767.04
  5. Step 5: Solve for x
    x = 31,918,767.04/6,527.56
  6. Step 6: Final answer
    x = 4,889.85

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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.