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Finding the Fourth Proportional to 6,935.62, 9,568.40 and 4,278.40

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Solution

The fourth proportional to 6,935.62, 9,568.40 and 4,278.40 is: 5,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.62 : 9,568.40 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    6,935.62/9,568.40 = 4,278.40/x
  3. Step 3: Cross multiply
    6,935.62x = 9,568.40 × 4,278.40
  4. Step 4: Simplify right side
    6,935.62x = 40,937,442.56
  5. Step 5: Solve for x
    x = 40,937,442.56/6,935.62
  6. Step 6: Final answer
    x = 5,902.49

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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.