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Finding the Fourth Proportional to 7,846.26, 10,828.24 and 4,704.26

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Solution

The fourth proportional to 7,846.26, 10,828.24 and 4,704.26 is: 6,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.26 : 10,828.24 = 4,704.26 : x
  2. Step 2: Convert to fraction form
    7,846.26/10,828.24 = 4,704.26/x
  3. Step 3: Cross multiply
    7,846.26x = 10,828.24 × 4,704.26
  4. Step 4: Simplify right side
    7,846.26x = 50,938,856.30
  5. Step 5: Solve for x
    x = 50,938,856.30/7,846.26
  6. Step 6: Final answer
    x = 6,492.12

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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.