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Finding the Fourth Proportional to 4,997.44, 6,896 and 2,901.68

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Solution

The fourth proportional to 4,997.44, 6,896 and 2,901.68 is: 4,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.44 : 6,896 = 2,901.68 : x
  2. Step 2: Convert to fraction form
    4,997.44/6,896 = 2,901.68/x
  3. Step 3: Cross multiply
    4,997.44x = 6,896 × 2,901.68
  4. Step 4: Simplify right side
    4,997.44x = 20,009,985.28
  5. Step 5: Solve for x
    x = 20,009,985.28/4,997.44
  6. Step 6: Final answer
    x = 4,004.05

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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.