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Finding the Fourth Proportional to 7,082.96, 9,774.74 and 3,939.35

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Solution

The fourth proportional to 7,082.96, 9,774.74 and 3,939.35 is: 5,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.96 : 9,774.74 = 3,939.35 : x
  2. Step 2: Convert to fraction form
    7,082.96/9,774.74 = 3,939.35/x
  3. Step 3: Cross multiply
    7,082.96x = 9,774.74 × 3,939.35
  4. Step 4: Simplify right side
    7,082.96x = 38,506,082.99
  5. Step 5: Solve for x
    x = 38,506,082.99/7,082.96
  6. Step 6: Final answer
    x = 5,436.44

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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.