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Finding the Fourth Proportional to 6,788.84, 9,364.28 and 4,896.95

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Solution

The fourth proportional to 6,788.84, 9,364.28 and 4,896.95 is: 6,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.84 : 9,364.28 = 4,896.95 : x
  2. Step 2: Convert to fraction form
    6,788.84/9,364.28 = 4,896.95/x
  3. Step 3: Cross multiply
    6,788.84x = 9,364.28 × 4,896.95
  4. Step 4: Simplify right side
    6,788.84x = 45,856,339.64
  5. Step 5: Solve for x
    x = 45,856,339.64/6,788.84
  6. Step 6: Final answer
    x = 6,754.67

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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.