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Finding the Fourth Proportional to 7,853.67, 10,831.92 and 4,867.82

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Solution

The fourth proportional to 7,853.67, 10,831.92 and 4,867.82 is: 6,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.67 : 10,831.92 = 4,867.82 : x
  2. Step 2: Convert to fraction form
    7,853.67/10,831.92 = 4,867.82/x
  3. Step 3: Cross multiply
    7,853.67x = 10,831.92 × 4,867.82
  4. Step 4: Simplify right side
    7,853.67x = 52,727,782.65
  5. Step 5: Solve for x
    x = 52,727,782.65/7,853.67
  6. Step 6: Final answer
    x = 6,713.78

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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.