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Finding the Fourth Proportional to 6,561.57, 9,831.42 and 4,709.91

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Solution

The fourth proportional to 6,561.57, 9,831.42 and 4,709.91 is: 7,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.57 : 9,831.42 = 4,709.91 : x
  2. Step 2: Convert to fraction form
    6,561.57/9,831.42 = 4,709.91/x
  3. Step 3: Cross multiply
    6,561.57x = 9,831.42 × 4,709.91
  4. Step 4: Simplify right side
    6,561.57x = 46,305,103.37
  5. Step 5: Solve for x
    x = 46,305,103.37/6,561.57
  6. Step 6: Final answer
    x = 7,057.02

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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.