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Finding the Fourth Proportional to 4,744.64, 7,116.96 and 3,101.96

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Solution

The fourth proportional to 4,744.64, 7,116.96 and 3,101.96 is: 4,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.64 : 7,116.96 = 3,101.96 : x
  2. Step 2: Convert to fraction form
    4,744.64/7,116.96 = 3,101.96/x
  3. Step 3: Cross multiply
    4,744.64x = 7,116.96 × 3,101.96
  4. Step 4: Simplify right side
    4,744.64x = 22,076,525.24
  5. Step 5: Solve for x
    x = 22,076,525.24/4,744.64
  6. Step 6: Final answer
    x = 4,652.94

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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.