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Finding the Fourth Proportional to 6,734.94, 9,304.44 and 4,496.01

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Solution

The fourth proportional to 6,734.94, 9,304.44 and 4,496.01 is: 6,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.94 : 9,304.44 = 4,496.01 : x
  2. Step 2: Convert to fraction form
    6,734.94/9,304.44 = 4,496.01/x
  3. Step 3: Cross multiply
    6,734.94x = 9,304.44 × 4,496.01
  4. Step 4: Simplify right side
    6,734.94x = 41,832,855.28
  5. Step 5: Solve for x
    x = 41,832,855.28/6,734.94
  6. Step 6: Final answer
    x = 6,211.32

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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.