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Finding the Fourth Proportional to 7,831.50, 10,743.11 and 7,407.82

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Solution

The fourth proportional to 7,831.50, 10,743.11 and 7,407.82 is: 10,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.50 : 10,743.11 = 7,407.82 : x
  2. Step 2: Convert to fraction form
    7,831.50/10,743.11 = 7,407.82/x
  3. Step 3: Cross multiply
    7,831.50x = 10,743.11 × 7,407.82
  4. Step 4: Simplify right side
    7,831.50x = 79,583,025.12
  5. Step 5: Solve for x
    x = 79,583,025.12/7,831.50
  6. Step 6: Final answer
    x = 10,161.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.