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Finding the Fourth Proportional to 8,470.70, 12,710.38 and 4,033.38

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Solution

The fourth proportional to 8,470.70, 12,710.38 and 4,033.38 is: 6,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.70 : 12,710.38 = 4,033.38 : x
  2. Step 2: Convert to fraction form
    8,470.70/12,710.38 = 4,033.38/x
  3. Step 3: Cross multiply
    8,470.70x = 12,710.38 × 4,033.38
  4. Step 4: Simplify right side
    8,470.70x = 51,265,792.48
  5. Step 5: Solve for x
    x = 51,265,792.48/8,470.70
  6. Step 6: Final answer
    x = 6,052.13

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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.