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Finding the Fourth Proportional to 9,002.70, 13,502.34 and 3,812.22

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Solution

The fourth proportional to 9,002.70, 13,502.34 and 3,812.22 is: 5,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.70 : 13,502.34 = 3,812.22 : x
  2. Step 2: Convert to fraction form
    9,002.70/13,502.34 = 3,812.22/x
  3. Step 3: Cross multiply
    9,002.70x = 13,502.34 × 3,812.22
  4. Step 4: Simplify right side
    9,002.70x = 51,473,890.59
  5. Step 5: Solve for x
    x = 51,473,890.59/9,002.70
  6. Step 6: Final answer
    x = 5,717.61

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1.5x scale

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.