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Finding the Fourth Proportional to 6,527.67, 9,008.10 and 3,733.71

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Solution

The fourth proportional to 6,527.67, 9,008.10 and 3,733.71 is: 5,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.67 : 9,008.10 = 3,733.71 : x
  2. Step 2: Convert to fraction form
    6,527.67/9,008.10 = 3,733.71/x
  3. Step 3: Cross multiply
    6,527.67x = 9,008.10 × 3,733.71
  4. Step 4: Simplify right side
    6,527.67x = 33,633,633.05
  5. Step 5: Solve for x
    x = 33,633,633.05/6,527.67
  6. Step 6: Final answer
    x = 5,152.47

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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.