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Finding the Fourth Proportional to 4,997.49, 7,497.26 and 1,877.49

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Solution

The fourth proportional to 4,997.49, 7,497.26 and 1,877.49 is: 2,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.49 : 7,497.26 = 1,877.49 : x
  2. Step 2: Convert to fraction form
    4,997.49/7,497.26 = 1,877.49/x
  3. Step 3: Cross multiply
    4,997.49x = 7,497.26 × 1,877.49
  4. Step 4: Simplify right side
    4,997.49x = 14,076,054.11
  5. Step 5: Solve for x
    x = 14,076,054.11/4,997.49
  6. Step 6: Final answer
    x = 2,816.62

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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.