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Finding the Fourth Proportional to 6,527.22, 9,007.54 and 3,543.05

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Solution

The fourth proportional to 6,527.22, 9,007.54 and 3,543.05 is: 4,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.22 : 9,007.54 = 3,543.05 : x
  2. Step 2: Convert to fraction form
    6,527.22/9,007.54 = 3,543.05/x
  3. Step 3: Cross multiply
    6,527.22x = 9,007.54 × 3,543.05
  4. Step 4: Simplify right side
    6,527.22x = 31,914,164.60
  5. Step 5: Solve for x
    x = 31,914,164.60/6,527.22
  6. Step 6: Final answer
    x = 4,889.40

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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.