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Finding the Fourth Proportional to 6,831.88, 9,428.34 and 4,037.32

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Solution

The fourth proportional to 6,831.88, 9,428.34 and 4,037.32 is: 5,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.88 : 9,428.34 = 4,037.32 : x
  2. Step 2: Convert to fraction form
    6,831.88/9,428.34 = 4,037.32/x
  3. Step 3: Cross multiply
    6,831.88x = 9,428.34 × 4,037.32
  4. Step 4: Simplify right side
    6,831.88x = 38,065,225.65
  5. Step 5: Solve for x
    x = 38,065,225.65/6,831.88
  6. Step 6: Final answer
    x = 5,571.71

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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.