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Finding the Fourth Proportional to 6,527.81, 9,008.38 and 3,543.64

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Solution

The fourth proportional to 6,527.81, 9,008.38 and 3,543.64 is: 4,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.81 : 9,008.38 = 3,543.64 : x
  2. Step 2: Convert to fraction form
    6,527.81/9,008.38 = 3,543.64/x
  3. Step 3: Cross multiply
    6,527.81x = 9,008.38 × 3,543.64
  4. Step 4: Simplify right side
    6,527.81x = 31,922,455.70
  5. Step 5: Solve for x
    x = 31,922,455.70/6,527.81
  6. Step 6: Final answer
    x = 4,890.22

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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.