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Finding the Fourth Proportional to 6,749.54, 9,312.74 and 4,096.88

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Solution

The fourth proportional to 6,749.54, 9,312.74 and 4,096.88 is: 5,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.54 : 9,312.74 = 4,096.88 : x
  2. Step 2: Convert to fraction form
    6,749.54/9,312.74 = 4,096.88/x
  3. Step 3: Cross multiply
    6,749.54x = 9,312.74 × 4,096.88
  4. Step 4: Simplify right side
    6,749.54x = 38,153,178.25
  5. Step 5: Solve for x
    x = 38,153,178.25/6,749.54
  6. Step 6: Final answer
    x = 5,652.71

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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.