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Finding the Fourth Proportional to 6,512.04, 9,768.06 and 1,831.86

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Solution

The fourth proportional to 6,512.04, 9,768.06 and 1,831.86 is: 2,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.04 : 9,768.06 = 1,831.86 : x
  2. Step 2: Convert to fraction form
    6,512.04/9,768.06 = 1,831.86/x
  3. Step 3: Cross multiply
    6,512.04x = 9,768.06 × 1,831.86
  4. Step 4: Simplify right side
    6,512.04x = 17,893,718.39
  5. Step 5: Solve for x
    x = 17,893,718.39/6,512.04
  6. Step 6: Final answer
    x = 2,747.79

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Similar ratio
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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.