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Finding the Fourth Proportional to 4,846.92, 7,274.70 and 3,309

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Solution

The fourth proportional to 4,846.92, 7,274.70 and 3,309 is: 4,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.92 : 7,274.70 = 3,309 : x
  2. Step 2: Convert to fraction form
    4,846.92/7,274.70 = 3,309/x
  3. Step 3: Cross multiply
    4,846.92x = 7,274.70 × 3,309
  4. Step 4: Simplify right side
    4,846.92x = 24,071,982.30
  5. Step 5: Solve for x
    x = 24,071,982.30/4,846.92
  6. Step 6: Final answer
    x = 4,966.45

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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.