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Finding the Fourth Proportional to 7,082.25, 9,773.19 and 4,251.30

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Solution

The fourth proportional to 7,082.25, 9,773.19 and 4,251.30 is: 5,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.25 : 9,773.19 = 4,251.30 : x
  2. Step 2: Convert to fraction form
    7,082.25/9,773.19 = 4,251.30/x
  3. Step 3: Cross multiply
    7,082.25x = 9,773.19 × 4,251.30
  4. Step 4: Simplify right side
    7,082.25x = 41,548,762.65
  5. Step 5: Solve for x
    x = 41,548,762.65/7,082.25
  6. Step 6: Final answer
    x = 5,866.60

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Half scale
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Double scale
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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.