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Finding the Fourth Proportional to 7,896.78, 10,894.50 and 4,539.06

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Solution

The fourth proportional to 7,896.78, 10,894.50 and 4,539.06 is: 6,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.78 : 10,894.50 = 4,539.06 : x
  2. Step 2: Convert to fraction form
    7,896.78/10,894.50 = 4,539.06/x
  3. Step 3: Cross multiply
    7,896.78x = 10,894.50 × 4,539.06
  4. Step 4: Simplify right side
    7,896.78x = 49,450,789.17
  5. Step 5: Solve for x
    x = 49,450,789.17/7,896.78
  6. Step 6: Final answer
    x = 6,262.15

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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.