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Finding the Fourth Proportional to 6,243.58, 9,364.08 and 1,859.86

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Solution

The fourth proportional to 6,243.58, 9,364.08 and 1,859.86 is: 2,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.58 : 9,364.08 = 1,859.86 : x
  2. Step 2: Convert to fraction form
    6,243.58/9,364.08 = 1,859.86/x
  3. Step 3: Cross multiply
    6,243.58x = 9,364.08 × 1,859.86
  4. Step 4: Simplify right side
    6,243.58x = 17,415,831.01
  5. Step 5: Solve for x
    x = 17,415,831.01/6,243.58
  6. Step 6: Final answer
    x = 2,789.40

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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.