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Finding the Fourth Proportional to 6,527.71, 9,007.28 and 3,732.67

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Solution

The fourth proportional to 6,527.71, 9,007.28 and 3,732.67 is: 5,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.71 : 9,007.28 = 3,732.67 : x
  2. Step 2: Convert to fraction form
    6,527.71/9,007.28 = 3,732.67/x
  3. Step 3: Cross multiply
    6,527.71x = 9,007.28 × 3,732.67
  4. Step 4: Simplify right side
    6,527.71x = 33,621,158.80
  5. Step 5: Solve for x
    x = 33,621,158.80/6,527.71
  6. Step 6: Final answer
    x = 5,150.53

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1.5x scale

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.