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Finding the Fourth Proportional to 6,561.32, 9,831.05 and 4,709.66

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Solution

The fourth proportional to 6,561.32, 9,831.05 and 4,709.66 is: 7,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.32 : 9,831.05 = 4,709.66 : x
  2. Step 2: Convert to fraction form
    6,561.32/9,831.05 = 4,709.66/x
  3. Step 3: Cross multiply
    6,561.32x = 9,831.05 × 4,709.66
  4. Step 4: Simplify right side
    6,561.32x = 46,300,879.39
  5. Step 5: Solve for x
    x = 46,300,879.39/6,561.32
  6. Step 6: Final answer
    x = 7,056.64

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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.