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Finding the Fourth Proportional to 10,571.94, 15,831.12 and 6,352.68

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Solution

The fourth proportional to 10,571.94, 15,831.12 and 6,352.68 is: 9,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.94 : 15,831.12 = 6,352.68 : x
  2. Step 2: Convert to fraction form
    10,571.94/15,831.12 = 6,352.68/x
  3. Step 3: Cross multiply
    10,571.94x = 15,831.12 × 6,352.68
  4. Step 4: Simplify right side
    10,571.94x = 100,570,039.40
  5. Step 5: Solve for x
    x = 100,570,039.40/10,571.94
  6. Step 6: Final answer
    x = 9,512.92

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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.