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Finding the Fourth Proportional to 6,748.96, 9,330.96 and 5,182.24

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Solution

The fourth proportional to 6,748.96, 9,330.96 and 5,182.24 is: 7,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.96 : 9,330.96 = 5,182.24 : x
  2. Step 2: Convert to fraction form
    6,748.96/9,330.96 = 5,182.24/x
  3. Step 3: Cross multiply
    6,748.96x = 9,330.96 × 5,182.24
  4. Step 4: Simplify right side
    6,748.96x = 48,355,274.15
  5. Step 5: Solve for x
    x = 48,355,274.15/6,748.96
  6. Step 6: Final answer
    x = 7,164.85

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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.