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Finding the Fourth Proportional to 6,938.19, 9,558.01 and 4,809.97

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Solution

The fourth proportional to 6,938.19, 9,558.01 and 4,809.97 is: 6,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.19 : 9,558.01 = 4,809.97 : x
  2. Step 2: Convert to fraction form
    6,938.19/9,558.01 = 4,809.97/x
  3. Step 3: Cross multiply
    6,938.19x = 9,558.01 × 4,809.97
  4. Step 4: Simplify right side
    6,938.19x = 45,973,741.36
  5. Step 5: Solve for x
    x = 45,973,741.36/6,938.19
  6. Step 6: Final answer
    x = 6,626.19

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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.