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Finding the Fourth Proportional to 6,955.40, 10,419.19 and 4,180.57

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Solution

The fourth proportional to 6,955.40, 10,419.19 and 4,180.57 is: 6,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.40 : 10,419.19 = 4,180.57 : x
  2. Step 2: Convert to fraction form
    6,955.40/10,419.19 = 4,180.57/x
  3. Step 3: Cross multiply
    6,955.40x = 10,419.19 × 4,180.57
  4. Step 4: Simplify right side
    6,955.40x = 43,558,116.64
  5. Step 5: Solve for x
    x = 43,558,116.64/6,955.40
  6. Step 6: Final answer
    x = 6,262.49

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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.