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Finding the Fourth Proportional to 6,497.43, 9,740.30 and 2,336.46

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Solution

The fourth proportional to 6,497.43, 9,740.30 and 2,336.46 is: 3,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.43 : 9,740.30 = 2,336.46 : x
  2. Step 2: Convert to fraction form
    6,497.43/9,740.30 = 2,336.46/x
  3. Step 3: Cross multiply
    6,497.43x = 9,740.30 × 2,336.46
  4. Step 4: Simplify right side
    6,497.43x = 22,757,821.34
  5. Step 5: Solve for x
    x = 22,757,821.34/6,497.43
  6. Step 6: Final answer
    x = 3,502.59

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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.