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Finding the Fourth Proportional to 6,938.55, 9,578.21 and 4,424.31

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Solution

The fourth proportional to 6,938.55, 9,578.21 and 4,424.31 is: 6,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.55 : 9,578.21 = 4,424.31 : x
  2. Step 2: Convert to fraction form
    6,938.55/9,578.21 = 4,424.31/x
  3. Step 3: Cross multiply
    6,938.55x = 9,578.21 × 4,424.31
  4. Step 4: Simplify right side
    6,938.55x = 42,376,948.16
  5. Step 5: Solve for x
    x = 42,376,948.16/6,938.55
  6. Step 6: Final answer
    x = 6,107.46

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1.5x scale

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.