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Finding the Fourth Proportional to 7,082.74, 9,776.04 and 4,843.80

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Solution

The fourth proportional to 7,082.74, 9,776.04 and 4,843.80 is: 6,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.74 : 9,776.04 = 4,843.80 : x
  2. Step 2: Convert to fraction form
    7,082.74/9,776.04 = 4,843.80/x
  3. Step 3: Cross multiply
    7,082.74x = 9,776.04 × 4,843.80
  4. Step 4: Simplify right side
    7,082.74x = 47,353,191.63
  5. Step 5: Solve for x
    x = 47,353,191.63/7,082.74
  6. Step 6: Final answer
    x = 6,685.72

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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.