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Finding the Fourth Proportional to 6,405.18, 8,831.38 and 4,969.96

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Solution

The fourth proportional to 6,405.18, 8,831.38 and 4,969.96 is: 6,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.18 : 8,831.38 = 4,969.96 : x
  2. Step 2: Convert to fraction form
    6,405.18/8,831.38 = 4,969.96/x
  3. Step 3: Cross multiply
    6,405.18x = 8,831.38 × 4,969.96
  4. Step 4: Simplify right side
    6,405.18x = 43,891,580.16
  5. Step 5: Solve for x
    x = 43,891,580.16/6,405.18
  6. Step 6: Final answer
    x = 6,852.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.