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Finding the Fourth Proportional to 9,757.36, 13,451.11 and 6,958

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Solution

The fourth proportional to 9,757.36, 13,451.11 and 6,958 is: 9,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.36 : 13,451.11 = 6,958 : x
  2. Step 2: Convert to fraction form
    9,757.36/13,451.11 = 6,958/x
  3. Step 3: Cross multiply
    9,757.36x = 13,451.11 × 6,958
  4. Step 4: Simplify right side
    9,757.36x = 93,592,823.38
  5. Step 5: Solve for x
    x = 93,592,823.38/9,757.36
  6. Step 6: Final answer
    x = 9,592.02

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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.