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Finding the Fourth Proportional to 4,997.94, 6,898.04 and 2,981.48

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Solution

The fourth proportional to 4,997.94, 6,898.04 and 2,981.48 is: 4,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.94 : 6,898.04 = 2,981.48 : x
  2. Step 2: Convert to fraction form
    4,997.94/6,898.04 = 2,981.48/x
  3. Step 3: Cross multiply
    4,997.94x = 6,898.04 × 2,981.48
  4. Step 4: Simplify right side
    4,997.94x = 20,566,333.81
  5. Step 5: Solve for x
    x = 20,566,333.81/4,997.94
  6. Step 6: Final answer
    x = 4,114.97

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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.