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Finding the Fourth Proportional to 4,997.52, 6,836.65 and 4,976.46

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Solution

The fourth proportional to 4,997.52, 6,836.65 and 4,976.46 is: 6,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.52 : 6,836.65 = 4,976.46 : x
  2. Step 2: Convert to fraction form
    4,997.52/6,836.65 = 4,976.46/x
  3. Step 3: Cross multiply
    4,997.52x = 6,836.65 × 4,976.46
  4. Step 4: Simplify right side
    4,997.52x = 34,022,302.82
  5. Step 5: Solve for x
    x = 34,022,302.82/4,997.52
  6. Step 6: Final answer
    x = 6,807.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.