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Finding the Fourth Proportional to 7,896.96, 10,894.38 and 4,539

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Solution

The fourth proportional to 7,896.96, 10,894.38 and 4,539 is: 6,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.96 : 10,894.38 = 4,539 : x
  2. Step 2: Convert to fraction form
    7,896.96/10,894.38 = 4,539/x
  3. Step 3: Cross multiply
    7,896.96x = 10,894.38 × 4,539
  4. Step 4: Simplify right side
    7,896.96x = 49,449,590.82
  5. Step 5: Solve for x
    x = 49,449,590.82/7,896.96
  6. Step 6: Final answer
    x = 6,261.85

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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.