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Finding the Fourth Proportional to 9,082.70, 13,630.80 and 4,697.90

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Solution

The fourth proportional to 9,082.70, 13,630.80 and 4,697.90 is: 7,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.70 : 13,630.80 = 4,697.90 : x
  2. Step 2: Convert to fraction form
    9,082.70/13,630.80 = 4,697.90/x
  3. Step 3: Cross multiply
    9,082.70x = 13,630.80 × 4,697.90
  4. Step 4: Simplify right side
    9,082.70x = 64,036,135.32
  5. Step 5: Solve for x
    x = 64,036,135.32/9,082.70
  6. Step 6: Final answer
    x = 7,050.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.