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Finding the Fourth Proportional to 6,342.96, 9,515.76 and 1,960.32

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Solution

The fourth proportional to 6,342.96, 9,515.76 and 1,960.32 is: 2,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.96 : 9,515.76 = 1,960.32 : x
  2. Step 2: Convert to fraction form
    6,342.96/9,515.76 = 1,960.32/x
  3. Step 3: Cross multiply
    6,342.96x = 9,515.76 × 1,960.32
  4. Step 4: Simplify right side
    6,342.96x = 18,653,934.64
  5. Step 5: Solve for x
    x = 18,653,934.64/6,342.96
  6. Step 6: Final answer
    x = 2,940.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.