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Finding the Fourth Proportional to 7,702.77, 10,627.34 and 6,082.54

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Solution

The fourth proportional to 7,702.77, 10,627.34 and 6,082.54 is: 8,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.77 : 10,627.34 = 6,082.54 : x
  2. Step 2: Convert to fraction form
    7,702.77/10,627.34 = 6,082.54/x
  3. Step 3: Cross multiply
    7,702.77x = 10,627.34 × 6,082.54
  4. Step 4: Simplify right side
    7,702.77x = 64,641,181.85
  5. Step 5: Solve for x
    x = 64,641,181.85/7,702.77
  6. Step 6: Final answer
    x = 8,391.94

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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.