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Finding the Fourth Proportional to 6,957.78, 9,604.35 and 4,306.38

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Solution

The fourth proportional to 6,957.78, 9,604.35 and 4,306.38 is: 5,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.78 : 9,604.35 = 4,306.38 : x
  2. Step 2: Convert to fraction form
    6,957.78/9,604.35 = 4,306.38/x
  3. Step 3: Cross multiply
    6,957.78x = 9,604.35 × 4,306.38
  4. Step 4: Simplify right side
    6,957.78x = 41,359,980.75
  5. Step 5: Solve for x
    x = 41,359,980.75/6,957.78
  6. Step 6: Final answer
    x = 5,944.42

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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.