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Finding the Fourth Proportional to 6,527.59, 9,792.78 and 2,632

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Solution

The fourth proportional to 6,527.59, 9,792.78 and 2,632 is: 3,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.59 : 9,792.78 = 2,632 : x
  2. Step 2: Convert to fraction form
    6,527.59/9,792.78 = 2,632/x
  3. Step 3: Cross multiply
    6,527.59x = 9,792.78 × 2,632
  4. Step 4: Simplify right side
    6,527.59x = 25,774,596.96
  5. Step 5: Solve for x
    x = 25,774,596.96/6,527.59
  6. Step 6: Final answer
    x = 3,948.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.