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Finding the Fourth Proportional to 8,820.46, 12,172.86 and 5,831.10

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Solution

The fourth proportional to 8,820.46, 12,172.86 and 5,831.10 is: 8,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.46 : 12,172.86 = 5,831.10 : x
  2. Step 2: Convert to fraction form
    8,820.46/12,172.86 = 5,831.10/x
  3. Step 3: Cross multiply
    8,820.46x = 12,172.86 × 5,831.10
  4. Step 4: Simplify right side
    8,820.46x = 70,981,163.95
  5. Step 5: Solve for x
    x = 70,981,163.95/8,820.46
  6. Step 6: Final answer
    x = 8,047.33

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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.