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Finding the Fourth Proportional to 6,722.96, 9,272.64 and 4,734.08

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Solution

The fourth proportional to 6,722.96, 9,272.64 and 4,734.08 is: 6,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.96 : 9,272.64 = 4,734.08 : x
  2. Step 2: Convert to fraction form
    6,722.96/9,272.64 = 4,734.08/x
  3. Step 3: Cross multiply
    6,722.96x = 9,272.64 × 4,734.08
  4. Step 4: Simplify right side
    6,722.96x = 43,897,419.57
  5. Step 5: Solve for x
    x = 43,897,419.57/6,722.96
  6. Step 6: Final answer
    x = 6,529.48

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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.