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Finding the Fourth Proportional to 7,082.56, 9,773.72 and 3,895.85

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Solution

The fourth proportional to 7,082.56, 9,773.72 and 3,895.85 is: 5,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.56 : 9,773.72 = 3,895.85 : x
  2. Step 2: Convert to fraction form
    7,082.56/9,773.72 = 3,895.85/x
  3. Step 3: Cross multiply
    7,082.56x = 9,773.72 × 3,895.85
  4. Step 4: Simplify right side
    7,082.56x = 38,076,927.58
  5. Step 5: Solve for x
    x = 38,076,927.58/7,082.56
  6. Step 6: Final answer
    x = 5,376.16

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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.