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Finding the Fourth Proportional to 7,082.56, 10,619.88 and 6,283.18

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Solution

The fourth proportional to 7,082.56, 10,619.88 and 6,283.18 is: 9,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.56 : 10,619.88 = 6,283.18 : x
  2. Step 2: Convert to fraction form
    7,082.56/10,619.88 = 6,283.18/x
  3. Step 3: Cross multiply
    7,082.56x = 10,619.88 × 6,283.18
  4. Step 4: Simplify right side
    7,082.56x = 66,726,617.62
  5. Step 5: Solve for x
    x = 66,726,617.62/7,082.56
  6. Step 6: Final answer
    x = 9,421.26

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1.5x scale

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.