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Finding the Fourth Proportional to 6,749.76, 9,311.12 and 5,492.22

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Solution

The fourth proportional to 6,749.76, 9,311.12 and 5,492.22 is: 7,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.76 : 9,311.12 = 5,492.22 : x
  2. Step 2: Convert to fraction form
    6,749.76/9,311.12 = 5,492.22/x
  3. Step 3: Cross multiply
    6,749.76x = 9,311.12 × 5,492.22
  4. Step 4: Simplify right side
    6,749.76x = 51,138,719.49
  5. Step 5: Solve for x
    x = 51,138,719.49/6,749.76
  6. Step 6: Final answer
    x = 7,576.38

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Double scale
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Similar ratio
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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.