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Finding the Fourth Proportional to 6,963.41, 9,607.23 and 3,938.06

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Solution

The fourth proportional to 6,963.41, 9,607.23 and 3,938.06 is: 5,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.41 : 9,607.23 = 3,938.06 : x
  2. Step 2: Convert to fraction form
    6,963.41/9,607.23 = 3,938.06/x
  3. Step 3: Cross multiply
    6,963.41x = 9,607.23 × 3,938.06
  4. Step 4: Simplify right side
    6,963.41x = 37,833,848.17
  5. Step 5: Solve for x
    x = 37,833,848.17/6,963.41
  6. Step 6: Final answer
    x = 5,433.24

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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.