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Finding the Fourth Proportional to 6,761.64, 10,134.08 and 3,831.06

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Solution

The fourth proportional to 6,761.64, 10,134.08 and 3,831.06 is: 5,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.64 : 10,134.08 = 3,831.06 : x
  2. Step 2: Convert to fraction form
    6,761.64/10,134.08 = 3,831.06/x
  3. Step 3: Cross multiply
    6,761.64x = 10,134.08 × 3,831.06
  4. Step 4: Simplify right side
    6,761.64x = 38,824,268.52
  5. Step 5: Solve for x
    x = 38,824,268.52/6,761.64
  6. Step 6: Final answer
    x = 5,741.84

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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.