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Finding the Fourth Proportional to 6,754.88, 10,117.92 and 3,831.68

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Solution

The fourth proportional to 6,754.88, 10,117.92 and 3,831.68 is: 5,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.88 : 10,117.92 = 3,831.68 : x
  2. Step 2: Convert to fraction form
    6,754.88/10,117.92 = 3,831.68/x
  3. Step 3: Cross multiply
    6,754.88x = 10,117.92 × 3,831.68
  4. Step 4: Simplify right side
    6,754.88x = 38,768,631.71
  5. Step 5: Solve for x
    x = 38,768,631.71/6,754.88
  6. Step 6: Final answer
    x = 5,739.35

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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.