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Finding the Fourth Proportional to 7,095.81, 9,792.21 and 4,112.22

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Solution

The fourth proportional to 7,095.81, 9,792.21 and 4,112.22 is: 5,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.81 : 9,792.21 = 4,112.22 : x
  2. Step 2: Convert to fraction form
    7,095.81/9,792.21 = 4,112.22/x
  3. Step 3: Cross multiply
    7,095.81x = 9,792.21 × 4,112.22
  4. Step 4: Simplify right side
    7,095.81x = 40,267,721.81
  5. Step 5: Solve for x
    x = 40,267,721.81/7,095.81
  6. Step 6: Final answer
    x = 5,674.86

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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.