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Finding the Fourth Proportional to 7,082.60, 9,776.04 and 4,724.73

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Solution

The fourth proportional to 7,082.60, 9,776.04 and 4,724.73 is: 6,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.60 : 9,776.04 = 4,724.73 : x
  2. Step 2: Convert to fraction form
    7,082.60/9,776.04 = 4,724.73/x
  3. Step 3: Cross multiply
    7,082.60x = 9,776.04 × 4,724.73
  4. Step 4: Simplify right side
    7,082.60x = 46,189,149.47
  5. Step 5: Solve for x
    x = 46,189,149.47/7,082.60
  6. Step 6: Final answer
    x = 6,521.50

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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.