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Finding the Fourth Proportional to 6,839.16, 9,435.18 and 4,478.36

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Solution

The fourth proportional to 6,839.16, 9,435.18 and 4,478.36 is: 6,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.16 : 9,435.18 = 4,478.36 : x
  2. Step 2: Convert to fraction form
    6,839.16/9,435.18 = 4,478.36/x
  3. Step 3: Cross multiply
    6,839.16x = 9,435.18 × 4,478.36
  4. Step 4: Simplify right side
    6,839.16x = 42,254,132.70
  5. Step 5: Solve for x
    x = 42,254,132.70/6,839.16
  6. Step 6: Final answer
    x = 6,178.26

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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.